49896410400 has 144 divisors (see below), whose sum is σ = 180458762400. Its totient is φ = 13305703680.

The previous prime is 49896410363. The next prime is 49896410479. The reversal of 49896410400 is 401469894.

It is a tau number, because it is divible by the number of its divisors (144).

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

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1133410 + ... + 1176609.

It is an arithmetic number, because the mean of its divisors is an integer number (1253185850).

Almost surely, 2^49896410400 is an apocalyptic number.

49896410400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49896410400 is an abundant number, since it is smaller than the sum of its proper divisors (130562352000).

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

49896410400 is a wasteful number, since it uses less digits than its factorization.

49896410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310048 (or 2310029 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 49896410400 in words is "forty-nine billion, eight hundred ninety-six million, four hundred ten thousand, four hundred".