40630403727360 has 1280 divisors, whose sum is σ = 154356950880000. Its totient is φ = 10237004218368.

The previous prime is 40630403727241. The next prime is 40630403727451. The reversal of 40630403727360 is 6372730403604.

40630403727360 is a `hidden beast` number, since 4 + 0 + 630 + 4 + 0 + 3 + 7 + 2 + 7 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 108928696134 + ... + 108928696506.

It is an arithmetic number, because the mean of its divisors is an integer number (120591367875).

Almost surely, 2^{40630403727360} is an apocalyptic number.

40630403727360 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 40630403727360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77178475440000).

40630403727360 is an abundant number, since it is smaller than the sum of its proper divisors (113726547152640).

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

40630403727360 is an frugal number, since it uses more digits than its factorization.

40630403727360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 45.

The spelling of 40630403727360 in words is "forty trillion, six hundred thirty billion, four hundred three million, seven hundred twenty-seven thousand, three hundred sixty".