40440376992000 has 288 divisors, whose sum is σ = 134426690221824. Its totient is φ = 10775752704000.

The previous prime is 40440376991977. The next prime is 40440376992013. The reversal of 40440376992000 is 29967304404.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124349605 + ... + 124674395.

It is an arithmetic number, because the mean of its divisors is an integer number (466759341048).

Almost surely, 2^{40440376992000} is an apocalyptic number.

40440376992000 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 40440376992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67213345110912).

40440376992000 is an abundant number, since it is smaller than the sum of its proper divisors (93986313229824).

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

40440376992000 is a wasteful number, since it uses less digits than its factorization.

40440376992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326122 (or 326098 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 40440376992000 in words is "forty trillion, four hundred forty billion, three hundred seventy-six million, nine hundred ninety-two thousand".