49024970400 has 864 divisors, whose sum is σ = 201019008960. Its totient is φ = 10311598080.

The previous prime is 49024970389. The next prime is 49024970453. The reversal of 49024970400 is 407942094.

It is a happy number.

49024970400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 82672504 + ... + 82673096.

It is an arithmetic number, because the mean of its divisors is an integer number (232660890).

Almost surely, 2^49024970400 is an apocalyptic number.

49024970400 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 49024970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100509504480).

49024970400 is an abundant number, since it is smaller than the sum of its proper divisors (151994038560).

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

49024970400 is a wasteful number, since it uses less digits than its factorization.

49024970400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 49024970400 in words is "forty-nine billion, twenty-four million, nine hundred seventy thousand, four hundred".