40155120 has 120 divisors (see below), whose sum is σ = 138096816. Its totient is φ = 10450944.

The previous prime is 40155097. The next prime is 40155127. The reversal of 40155120 is 2155104.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×40155120² = 3224867324428800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40155093 and 40155102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40155127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30312 + ... + 31608.

Almost surely, 2^40155120 is an apocalyptic number.

40155120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40155120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69048408).

40155120 is an abundant number, since it is smaller than the sum of its proper divisors (97941696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40155120 is a wasteful number, since it uses less digits than its factorization.

40155120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 40155120 is about 6336.8067668188. The cubic root of 40155120 is about 342.4367048752.

The spelling of 40155120 in words is "forty million, one hundred fifty-five thousand, one hundred twenty".