40837385615040 has 896 divisors, whose sum is σ = 173426030592000. Its totient is φ = 9033134100480.

The previous prime is 40837385615029. The next prime is 40837385615051. The reversal of 40837385615040 is 4051658373804.

40837385615040 is a `hidden beast` number, since 4 + 0 + 8 + 3 + 7 + 38 + 561 + 5 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (40837385615029) and next prime (40837385615051).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 91646862 + ... + 92091378.

Almost surely, 2^{40837385615040} is an apocalyptic number.

40837385615040 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 40837385615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86713015296000).

40837385615040 is an abundant number, since it is smaller than the sum of its proper divisors (132588644976960).

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

40837385615040 is a wasteful number, since it uses less digits than its factorization.

40837385615040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444595 (or 444565 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 40837385615040 in words is "forty trillion, eight hundred thirty-seven billion, three hundred eighty-five million, six hundred fifteen thousand, forty".