49402088960 has 160 divisors (see below), whose sum is σ = 135591268032. Its totient is φ = 16910254080.

The previous prime is 49402088887. The next prime is 49402088969. The reversal of 49402088960 is 6988020494.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×49402088960² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 49402088899 and 49402088908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49402088969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13133480 + ... + 13137240.

Almost surely, 2^49402088960 is an apocalyptic number.

49402088960 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 49402088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67795634016).

49402088960 is an abundant number, since it is smaller than the sum of its proper divisors (86189179072).

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

49402088960 is an equidigital number, since it uses as much as digits as its factorization.

49402088960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4524 (or 4508 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 50.

The spelling of 49402088960 in words is "forty-nine billion, four hundred two million, eighty-eight thousand, nine hundred sixty".