40153073688000 has 2016 divisors, whose sum is σ = 178274906035200. Its totient is φ = 8446967193600.

The previous prime is 40153073687963. The next prime is 40153073688011. The reversal of 40153073688000 is 88637035104.

40153073688000 is a `hidden beast` number, since 4 + 0 + 1 + 530 + 7 + 36 + 8 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×40153073688000² (a number of 28 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 51020423607 + ... + 51020424393.

Almost surely, 2^{40153073688000} is an apocalyptic number.

40153073688000 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 40153073688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89137453017600).

40153073688000 is an abundant number, since it is smaller than the sum of its proper divisors (138121832347200).

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

40153073688000 is a wasteful number, since it uses less digits than its factorization.

40153073688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 40153073688000 in words is "forty trillion, one hundred fifty-three billion, seventy-three million, six hundred eighty-eight thousand".