40281507524640 has 96 divisors (see below), whose sum is σ = 126887851036800. Its totient is φ = 10741642020864.

The previous prime is 40281507524627. The next prime is 40281507524641. The reversal of 40281507524640 is 4642570518204.

40281507524640 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 40281507524640.

It is not an unprimeable number, because it can be changed into a prime (40281507524641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68470461 + ... + 69056259.

It is an arithmetic number, because the mean of its divisors is an integer number (1321748448300).

Almost surely, 2^{40281507524640} is an apocalyptic number.

40281507524640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40281507524640 is an abundant number, since it is smaller than the sum of its proper divisors (86606343512160).

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

40281507524640 is a wasteful number, since it uses less digits than its factorization.

40281507524640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729074 (or 729066 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 48.

The spelling of 40281507524640 in words is "forty trillion, two hundred eighty-one billion, five hundred seven million, five hundred twenty-four thousand, six hundred forty".