49817300400 has 450 divisors, whose sum is σ = 207987173460. Its totient is φ = 11386448640.

The previous prime is 49817300389. The next prime is 49817300413. The reversal of 49817300400 is 400371894.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1571911 + ... + 1603289.

Almost surely, 2^49817300400 is an apocalyptic number.

49817300400 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 49817300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103993586730).

49817300400 is an abundant number, since it is smaller than the sum of its proper divisors (158169873060).

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

49817300400 is a wasteful number, since it uses less digits than its factorization.

49817300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31423 (or 31396 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 49817300400 in words is "forty-nine billion, eight hundred seventeen million, three hundred thousand, four hundred".