40104960 has 176 divisors, whose sum is σ = 146990976. Its totient is φ = 9142272.

The previous prime is 40104947. The next prime is 40104971. The reversal of 40104960 is 6940104.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40104960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107334 + ... + 107706.

It is an arithmetic number, because the mean of its divisors is an integer number (835176).

Almost surely, 2^40104960 is an apocalyptic number.

40104960 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 40104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73495488).

40104960 is an abundant number, since it is smaller than the sum of its proper divisors (106886016).

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

40104960 is a wasteful number, since it uses less digits than its factorization.

40104960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 40104960 is about 6332.8477006794. The cubic root of 40104960 is about 342.2940598678.

The spelling of 40104960 in words is "forty million, one hundred four thousand, nine hundred sixty".