40108600326480 has 320 divisors, whose sum is σ = 146813483335680. Its totient is φ = 8866490038272.

The previous prime is 40108600326467. The next prime is 40108600326511. The reversal of 40108600326480 is 8462300680104.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8448841 + ... + 12312599.

It is an arithmetic number, because the mean of its divisors is an integer number (458792135424).

Almost surely, 2^{40108600326480} is an apocalyptic number.

40108600326480 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 40108600326480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73406741667840).

40108600326480 is an abundant number, since it is smaller than the sum of its proper divisors (106704883009200).

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

40108600326480 is a wasteful number, since it uses less digits than its factorization.

40108600326480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3863986 (or 3863980 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 40108600326480 in words is "forty trillion, one hundred eight billion, six hundred million, three hundred twenty-six thousand, four hundred eighty".