40477372790400 has 3456 divisors, whose sum is σ = 193655688278400. Its totient is φ = 8083417006080.

The previous prime is 40477372790369. The next prime is 40477372790483. The reversal of 40477372790400 is 409727377404.

It is a happy number.

40477372790400 is a `hidden beast` number, since 40 + 47 + 7 + 3 + 72 + 7 + 90 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 36898242652 + ... + 36898243748.

It is an arithmetic number, because the mean of its divisors is an integer number (56034632025).

Almost surely, 2^{40477372790400} is an apocalyptic number.

40477372790400 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 40477372790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96827844139200).

40477372790400 is an abundant number, since it is smaller than the sum of its proper divisors (153178315488000).

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

40477372790400 is a wasteful number, since it uses less digits than its factorization.

40477372790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 54.

The spelling of 40477372790400 in words is "forty trillion, four hundred seventy-seven billion, three hundred seventy-two million, seven hundred ninety thousand, four hundred".