49497254400 has 960 divisors, whose sum is σ = 193663426176. Its totient is φ = 11010048000.

The previous prime is 49497254399. The next prime is 49497254479. The reversal of 49497254400 is 445279494.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 49497254400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 438028744 + ... + 438028856.

Almost surely, 2^49497254400 is an apocalyptic number.

49497254400 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 49497254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96831713088).

49497254400 is an abundant number, since it is smaller than the sum of its proper divisors (144166171776).

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

49497254400 is a wasteful number, since it uses less digits than its factorization.

49497254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 49497254400 in words is "forty-nine billion, four hundred ninety-seven million, two hundred fifty-four thousand, four hundred".