40413588941440 has 256 divisors, whose sum is σ = 113524625692800. Its totient is φ = 13562965278720.

The previous prime is 40413588941419. The next prime is 40413588941447. The reversal of 40413588941440 is 4414988531404.

It is a super-2 number, since 2×40413588941440² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (40413588941447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 551737459 + ... + 551810701.

Almost surely, 2^{40413588941440} is an apocalyptic number.

40413588941440 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 40413588941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56762312846400).

40413588941440 is an abundant number, since it is smaller than the sum of its proper divisors (73111036751360).

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

40413588941440 is a wasteful number, since it uses less digits than its factorization.

40413588941440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79315 (or 79303 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 55.

The spelling of 40413588941440 in words is "forty trillion, four hundred thirteen billion, five hundred eighty-eight million, nine hundred forty-one thousand, four hundred forty".