40132733760 has 672 divisors, whose sum is σ = 163484186112. Its totient is φ = 8845148160.

The previous prime is 40132733749. The next prime is 40132733783. The reversal of 40132733760 is 6733723104.

40132733760 is a `hidden beast` number, since 4 + 0 + 13 + 273 + 376 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×40132733760² (a number of 22 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 95 ways as a sum of consecutive naturals, for example, 129044005 + ... + 129044315.

Almost surely, 2^40132733760 is an apocalyptic number.

40132733760 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 40132733760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81742093056).

40132733760 is an abundant number, since it is smaller than the sum of its proper divisors (123351452352).

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

40132733760 is a wasteful number, since it uses less digits than its factorization.

40132733760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The spelling of 40132733760 in words is "forty billion, one hundred thirty-two million, seven hundred thirty-three thousand, seven hundred sixty".