40449612621600 has 5184 divisors, whose sum is σ = 196709571781632. Its totient is φ = 8026324992000.

The previous prime is 40449612621589. The next prime is 40449612621619. The reversal of 40449612621600 is 612621694404.

40449612621600 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 9 + 6 + 12 + 6 + 21 + 600 = 666.

It is a super-2 number, since 2×40449612621600² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 157391488672 + ... + 157391488928.

It is an arithmetic number, because the mean of its divisors is an integer number (37945519248).

Almost surely, 2^{40449612621600} is an apocalyptic number.

40449612621600 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 40449612621600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98354785890816).

40449612621600 is an abundant number, since it is smaller than the sum of its proper divisors (156259959160032).

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

40449612621600 is a wasteful number, since it uses less digits than its factorization.

40449612621600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 40449612621600 in words is "forty trillion, four hundred forty-nine billion, six hundred twelve million, six hundred twenty-one thousand, six hundred".