49292937400320 has 2912 divisors, whose sum is σ = 200612080861920. Its totient is φ = 11557907988480.

The previous prime is 49292937400247. The next prime is 49292937400321. The reversal of 49292937400320 is 2300473929294.

49292937400320 is a `hidden beast` number, since 4 + 9 + 29 + 293 + 7 + 4 + 0 + 0 + 320 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 8060511522816 + 41232425877504 = 2839104^2 + 6421248^2 .

It is a super-2 number, since 2×49292937400320² (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 not an unprimeable number, because it can be changed into a prime (49292937400321) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 272336670630 + ... + 272336670810.

It is an arithmetic number, because the mean of its divisors is an integer number (68891511285).

Almost surely, 2^{49292937400320} is an apocalyptic number.

49292937400320 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 49292937400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100306040430960).

49292937400320 is an abundant number, since it is smaller than the sum of its proper divisors (151319143461600).

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

49292937400320 is a wasteful number, since it uses less digits than its factorization.

49292937400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 49292937400320 in words is "forty-nine trillion, two hundred ninety-two billion, nine hundred thirty-seven million, four hundred thousand, three hundred twenty".