49641468400 has 60 divisors (see below), whose sum is σ = 119508991312. Its totient is φ = 19815736320.

The previous prime is 49641468377. The next prime is 49641468407. The reversal of 49641468400 is 486414694.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49641468407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67384 + ... + 322216.

Almost surely, 2^49641468400 is an apocalyptic number.

49641468400 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 49641468400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59754495656).

49641468400 is an abundant number, since it is smaller than the sum of its proper divisors (69867522912).

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

49641468400 is a wasteful number, since it uses less digits than its factorization.

49641468400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255338 (or 255327 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The spelling of 49641468400 in words is "forty-nine billion, six hundred forty-one million, four hundred sixty-eight thousand, four hundred".