40752172543680 has 336 divisors, whose sum is σ = 156543688907424. Its totient is φ = 10031303761920.

The previous prime is 40752172543651. The next prime is 40752172543781. The reversal of 40752172543680 is 8634527125704.

40752172543680 is a `hidden beast` number, since 4 + 0 + 7 + 5 + 2 + 17 + 2 + 543 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 19145901 + ... + 21167660.

It is an arithmetic number, because the mean of its divisors is an integer number (465903836034).

Almost surely, 2^{40752172543680} is an apocalyptic number.

40752172543680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40752172543680 is an abundant number, since it is smaller than the sum of its proper divisors (115791516363744).

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

40752172543680 is a wasteful number, since it uses less digits than its factorization.

40752172543680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40313606 (or 40313584 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 40752172543680 in words is "forty trillion, seven hundred fifty-two billion, one hundred seventy-two million, five hundred forty-three thousand, six hundred eighty".