40513357207440 has 480 divisors, whose sum is σ = 147357528514560. Its totient is φ = 9915789312000.

The previous prime is 40513357207399. The next prime is 40513357207459. The reversal of 40513357207440 is 4470275331504.

It is a happy number.

40513357207440 is a `hidden beast` number, since 4 + 0 + 5 + 1 + 3 + 3 + 572 + 0 + 74 + 4 + 0 = 666.

It is a super-2 number, since 2×40513357207440² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5665407865 + ... + 5665415015.

It is an arithmetic number, because the mean of its divisors is an integer number (306994851072).

Almost surely, 2^{40513357207440} is an apocalyptic number.

40513357207440 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 40513357207440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73678764257280).

40513357207440 is an abundant number, since it is smaller than the sum of its proper divisors (106844171307120).

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

40513357207440 is a wasteful number, since it uses less digits than its factorization.

40513357207440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10543 (or 10534 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 40513357207440 in words is "forty trillion, five hundred thirteen billion, three hundred fifty-seven million, two hundred seven thousand, four hundred forty".