49890573991440 has 2240 divisors, whose sum is σ = 226358563791360. Its totient is φ = 9926127452160.

The previous prime is 49890573991327. The next prime is 49890573991483. The reversal of 49890573991440 is 4419937509894.

49890573991440 is a `hidden beast` number, since 4 + 9 + 8 + 9 + 0 + 573 + 9 + 9 + 1 + 4 + 40 = 666.

49890573991440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 24301301454 + ... + 24301303506.

It is an arithmetic number, because the mean of its divisors is an integer number (101052930264).

Almost surely, 2^{49890573991440} is an apocalyptic number.

49890573991440 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 49890573991440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113179281895680).

49890573991440 is an abundant number, since it is smaller than the sum of its proper divisors (176467989799920).

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

49890573991440 is a wasteful number, since it uses less digits than its factorization.

49890573991440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 49890573991440 in words is "forty-nine trillion, eight hundred ninety billion, five hundred seventy-three million, nine hundred ninety-one thousand, four hundred forty".