49106631974400 has 7680 divisors, whose sum is σ = 264053499494400. Its totient is φ = 8599633920000.

The previous prime is 49106631974399. The next prime is 49106631974429. The reversal of 49106631974400 is 447913660194.

49106631974400 is a `hidden beast` number, since 4 + 9 + 1 + 0 + 6 + 6 + 3 + 197 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

It is a super-2 number, since 2×49106631974400² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 203761958280 + ... + 203761958520.

It is an arithmetic number, because the mean of its divisors is an integer number (34381966080).

Almost surely, 2^{49106631974400} is an apocalyptic number.

49106631974400 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 49106631974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132026749747200).

49106631974400 is an abundant number, since it is smaller than the sum of its proper divisors (214946867520000).

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

49106631974400 is a wasteful number, since it uses less digits than its factorization.

49106631974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 49106631974400 in words is "forty-nine trillion, one hundred six billion, six hundred thirty-one million, nine hundred seventy-four thousand, four hundred".