40500764997600 has 288 divisors, whose sum is σ = 138911475346560. Its totient is φ = 10221223680000.

The previous prime is 40500764997599. The next prime is 40500764997613. The reversal of 40500764997600 is 679946700504.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43820250 + ... + 44734950.

It is an arithmetic number, because the mean of its divisors is an integer number (482331511620).

Almost surely, 2^{40500764997600} is an apocalyptic number.

40500764997600 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 40500764997600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69455737673280).

40500764997600 is an abundant number, since it is smaller than the sum of its proper divisors (98410710348960).

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

40500764997600 is a wasteful number, since it uses less digits than its factorization.

40500764997600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915714 (or 915701 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 57.

The spelling of 40500764997600 in words is "forty trillion, five hundred billion, seven hundred sixty-four million, nine hundred ninety-seven thousand, six hundred".