5414653440 has 960 divisors, whose sum is σ = 23947038720. Its totient is φ = 1134673920.

The previous prime is 5414653427. The next prime is 5414653451. The reversal of 5414653440 is 443564145.

5414653440 is a `hidden beast` number, since 5 + 41 + 46 + 534 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5414653395 and 5414653404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 174666225 + ... + 174666255.

It is an arithmetic number, because the mean of its divisors is an integer number (24944832).

Almost surely, 2^5414653440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5414653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11973519360).

5414653440 is an abundant number, since it is smaller than the sum of its proper divisors (18532385280).

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

5414653440 is a wasteful number, since it uses less digits than its factorization.

5414653440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 5414653440 is about 73584.3287663888. The cubic root of 5414653440 is about 1755.9961325700.

The spelling of 5414653440 in words is "five billion, four hundred fourteen million, six hundred fifty-three thousand, four hundred forty".