40698408960 has 416 divisors, whose sum is σ = 157864815360. Its totient is φ = 9864806400.

The previous prime is 40698408941. The next prime is 40698408997. The reversal of 40698408960 is 6980489604.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 40698408897 and 40698408906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6079215 + ... + 6085905.

Almost surely, 2^40698408960 is an apocalyptic number.

40698408960 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 40698408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78932407680).

40698408960 is an abundant number, since it is smaller than the sum of its proper divisors (117166406400).

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

40698408960 is a wasteful number, since it uses less digits than its factorization.

40698408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6740 (or 6712 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 40698408960 in words is "forty billion, six hundred ninety-eight million, four hundred eight thousand, nine hundred sixty".