40880912185344 has 384 divisors, whose sum is σ = 135987064012800. Its totient is φ = 10610253987840.

The previous prime is 40880912185331. The next prime is 40880912185357. The reversal of 40880912185344 is 44358121908804.

It is an interprime number because it is at equal distance from previous prime (40880912185331) and next prime (40880912185357).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×40880912185344² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 627755217 + ... + 627820335.

It is an arithmetic number, because the mean of its divisors is an integer number (354132979200).

Almost surely, 2^{40880912185344} is an apocalyptic number.

40880912185344 is a gapful number since it is divisible by the number (44) 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 40880912185344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67993532006400).

40880912185344 is an abundant number, since it is smaller than the sum of its proper divisors (95106151827456).

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

40880912185344 is a wasteful number, since it uses less digits than its factorization.

40880912185344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66489 (or 66469 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 57.

The spelling of 40880912185344 in words is "forty trillion, eight hundred eighty billion, nine hundred twelve million, one hundred eighty-five thousand, three hundred forty-four".