49440002400 has 432 divisors, whose sum is σ = 181669872384. Its totient is φ = 13120289280.

The previous prime is 49440002399. The next prime is 49440002419. The reversal of 49440002400 is 420004494.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51126717 + ... + 51127683.

It is an arithmetic number, because the mean of its divisors is an integer number (420532112).

Almost surely, 2^49440002400 is an apocalyptic number.

49440002400 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 49440002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90834936192).

49440002400 is an abundant number, since it is smaller than the sum of its proper divisors (132229869984).

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

49440002400 is a wasteful number, since it uses less digits than its factorization.

49440002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 49440002400 its reverse (420004494), we get a palindrome (49860006894).

The spelling of 49440002400 in words is "forty-nine billion, four hundred forty million, two thousand, four hundred".