49490078400 has 378 divisors, whose sum is σ = 204620614380. Its totient is φ = 11311856640.

The previous prime is 49490078329. The next prime is 49490078401. The reversal of 49490078400 is 487009494.

49490078400 is a `hidden beast` number, since 4 + 94 + 90 + 0 + 78 + 400 = 666.

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 (49490078401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 670531 + ... + 740669.

Almost surely, 2^49490078400 is an apocalyptic number.

49490078400 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 49490078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102310307190).

49490078400 is an abundant number, since it is smaller than the sum of its proper divisors (155130535980).

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

49490078400 is a wasteful number, since it uses less digits than its factorization.

49490078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70181 (or 70156 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 49490078400 in words is "forty-nine billion, four hundred ninety million, seventy-eight thousand, four hundred".