49014919800 has 384 divisors, whose sum is σ = 210490099200. Its totient is φ = 10184832000.

The previous prime is 49014919777. The next prime is 49014919801. The reversal of 49014919800 is 891941094.

49014919800 is a `hidden beast` number, since 490 + 149 + 19 + 8 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49014919801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 356860 + ... + 474740.

It is an arithmetic number, because the mean of its divisors is an integer number (548151300).

Almost surely, 2^49014919800 is an apocalyptic number.

49014919800 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 49014919800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105245049600).

49014919800 is an abundant number, since it is smaller than the sum of its proper divisors (161475179400).

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

49014919800 is a wasteful number, since it uses less digits than its factorization.

49014919800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117924 (or 117909 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 49014919800 in words is "forty-nine billion, fourteen million, nine hundred nineteen thousand, eight hundred".