40570632000 has 560 divisors, whose sum is σ = 151515915408. Its totient is φ = 10716364800.

The previous prime is 40570631989. The next prime is 40570632001. The reversal of 40570632000 is 23607504.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4958413056 + 35612218944 = 70416^2 + 188712^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40570632001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 88775772 + ... + 88776228.

Almost surely, 2^40570632000 is an apocalyptic number.

40570632000 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 40570632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75757957704).

40570632000 is an abundant number, since it is smaller than the sum of its proper divisors (110945283408).

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

40570632000 is a wasteful number, since it uses less digits than its factorization.

40570632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 40570632000 in words is "forty billion, five hundred seventy million, six hundred thirty-two thousand".