40153010688000 has 1664 divisors, whose sum is σ = 178605213696000. Its totient is φ = 8694389145600.

The previous prime is 40153010687989. The next prime is 40153010688067. The reversal of 40153010688000 is 88601035104.

40153010688000 is a `hidden beast` number, since 40 + 1 + 530 + 1 + 0 + 6 + 8 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×40153010688000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1838581081 + ... + 1838602919.

It is an arithmetic number, because the mean of its divisors is an integer number (107334864000).

Almost surely, 2^{40153010688000} is an apocalyptic number.

40153010688000 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 40153010688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89302606848000).

40153010688000 is an abundant number, since it is smaller than the sum of its proper divisors (138452203008000).

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

40153010688000 is a wasteful number, since it uses less digits than its factorization.

40153010688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21913 (or 21875 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 40153010688000 in words is "forty trillion, one hundred fifty-three billion, ten million, six hundred eighty-eight thousand".