49721396400 has 1080 divisors, whose sum is σ = 205243998960. Its totient is φ = 11488573440.

The previous prime is 49721396371. The next prime is 49721396407. The reversal of 49721396400 is 469312794.

It is a happy number.

49721396400 is a `hidden beast` number, since 49 + 72 + 139 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is not an unprimeable number, because it can be changed into a prime (49721396407) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 456159546 + ... + 456159654.

Almost surely, 2^49721396400 is an apocalyptic number.

49721396400 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 49721396400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102621999480).

49721396400 is an abundant number, since it is smaller than the sum of its proper divisors (155522602560).

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

49721396400 is a wasteful number, since it uses less digits than its factorization.

49721396400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 49721396400 in words is "forty-nine billion, seven hundred twenty-one million, three hundred ninety-six thousand, four hundred".