40056109632 has 560 divisors, whose sum is σ = 154509898752. Its totient is φ = 9949547520.

The previous prime is 40056109607. The next prime is 40056109649. The reversal of 40056109632 is 23690165004.

It is a happy number.

40056109632 is a `hidden beast` number, since 4 + 0 + 0 + 5 + 6 + 10 + 9 + 632 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9178683 + ... + 9183045.

Almost surely, 2^40056109632 is an apocalyptic number.

40056109632 is a gapful number since it is divisible by the number (42) 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 40056109632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77254949376).

40056109632 is an abundant number, since it is smaller than the sum of its proper divisors (114453789120).

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

40056109632 is a wasteful number, since it uses less digits than its factorization.

40056109632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4428 (or 4409 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 40056109632 in words is "forty billion, fifty-six million, one hundred nine thousand, six hundred thirty-two".