49007540400 has 720 divisors, whose sum is σ = 200076694272. Its totient is φ = 9985075200.

The previous prime is 49007540339. The next prime is 49007540429. The reversal of 49007540400 is 404570094.

It is a happy number.

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 143 ways as a sum of consecutive naturals, for example, 104940967 + ... + 104941433.

Almost surely, 2^49007540400 is an apocalyptic number.

49007540400 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 49007540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100038347136).

49007540400 is an abundant number, since it is smaller than the sum of its proper divisors (151069153872).

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

49007540400 is a wasteful number, since it uses less digits than its factorization.

49007540400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 49007540400 in words is "forty-nine billion, seven million, five hundred forty thousand, four hundred".