40476814400 has 168 divisors, whose sum is σ = 109452253536. Its totient is φ = 14610534400.

The previous prime is 40476814397. The next prime is 40476814471. The reversal of 40476814400 is 441867404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2402807 + ... + 2419593.

Almost surely, 2^40476814400 is an apocalyptic number.

40476814400 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 40476814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54726126768).

40476814400 is an abundant number, since it is smaller than the sum of its proper divisors (68975439136).

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

40476814400 is a wasteful number, since it uses less digits than its factorization.

40476814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16957 (or 16942 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 38.

The spelling of 40476814400 in words is "forty billion, four hundred seventy-six million, eight hundred fourteen thousand, four hundred".