49509926400 has 960 divisors, whose sum is σ = 194844672000. Its totient is φ = 10948608000.

The previous prime is 49509926377. The next prime is 49509926407. The reversal of 49509926400 is 462990594.

It is a tau number, because it is divible by the number of its divisors (960).

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 49509926400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49509926407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 248793501 + ... + 248793699.

It is an arithmetic number, because the mean of its divisors is an integer number (202963200).

Almost surely, 2^49509926400 is an apocalyptic number.

49509926400 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 49509926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97422336000).

49509926400 is an abundant number, since it is smaller than the sum of its proper divisors (145334745600).

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

49509926400 is a wasteful number, since it uses less digits than its factorization.

49509926400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 49509926400 in words is "forty-nine billion, five hundred nine million, nine hundred twenty-six thousand, four hundred".