40290877440000 has 2520 divisors, whose sum is σ = 171701704766592. Its totient is φ = 9342812160000.

The previous prime is 40290877439999. The next prime is 40290877440019. The reversal of 40290877440000 is 4477809204.

40290877440000 is a `hidden beast` number, since 40 + 2 + 90 + 87 + 7 + 440 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1751777279989 + ... + 1751777280011.

Almost surely, 2^{40290877440000} is an apocalyptic number.

40290877440000 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 40290877440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85850852383296).

40290877440000 is an abundant number, since it is smaller than the sum of its proper divisors (131410827326592).

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

40290877440000 is an frugal number, since it uses more digits than its factorization.

40290877440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 40290877440000 in words is "forty trillion, two hundred ninety billion, eight hundred seventy-seven million, four hundred forty thousand".