49436486400 has 216 divisors, whose sum is σ = 186458454784. Its totient is φ = 11299737600.

The previous prime is 49436486399. The next prime is 49436486431. The reversal of 49436486400 is 468463494.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 49436486400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49516 + ... + 318315.

Almost surely, 2^49436486400 is an apocalyptic number.

49436486400 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 49436486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93229227392).

49436486400 is an abundant number, since it is smaller than the sum of its proper divisors (137021968384).

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

49436486400 is a wasteful number, since it uses less digits than its factorization.

49436486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367867 (or 367848 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 49436486400 in words is "forty-nine billion, four hundred thirty-six million, four hundred eighty-six thousand, four hundred".