40515383623680 has 2048 divisors, whose sum is σ = 172720480896000. Its totient is φ = 8925273391104.

The previous prime is 40515383623639. The next prime is 40515383623681. The reversal of 40515383623680 is 8632638351504.

40515383623680 is a `hidden beast` number, since 4 + 0 + 5 + 1 + 5 + 3 + 8 + 3 + 623 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

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

It is not an unprimeable number, because it can be changed into a prime (40515383623681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72738569962 + ... + 72738570518.

Almost surely, 2^{40515383623680} is an apocalyptic number.

40515383623680 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 40515383623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86360240448000).

40515383623680 is an abundant number, since it is smaller than the sum of its proper divisors (132205097272320).

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

40515383623680 is an frugal number, since it uses more digits than its factorization.

40515383623680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 40515383623680 in words is "forty trillion, five hundred fifteen billion, three hundred eighty-three million, six hundred twenty-three thousand, six hundred eighty".