40004665600000 has 144 divisors (see below), whose sum is σ = 99980863901100. Its totient is φ = 16001863680000.

The previous prime is 40004665599989. The next prime is 40004665600019. The reversal of 40004665600000 is 656640004.

It can be written as a sum of positive squares in 6 ways, for example, as 29496001536 + 39975169598464 = 171744^2 + 6322592^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3274636 + ... + 9525364.

Almost surely, 2^{40004665600000} is an apocalyptic number.

40004665600000 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 40004665600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49990431950550).

40004665600000 is an abundant number, since it is smaller than the sum of its proper divisors (59976198301100).

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

40004665600000 is an frugal number, since it uses more digits than its factorization.

40004665600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6250776 (or 6250736 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

It can be divided in two parts, 4000 and 4665600000, that multiplied together give a square (18662400000000 = 4320000²).

The spelling of 40004665600000 in words is "forty trillion, four billion, six hundred sixty-five million, six hundred thousand".