49742080000 has 120 divisors (see below), whose sum is σ = 124288254090. Its totient is φ = 19896320000.

The previous prime is 49742079979. The next prime is 49742080007. The reversal of 49742080000 is 8024794.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 5014905856 + 44727174144 = 70816^2 + 211488^2 .

It is not an unprimeable number, because it can be changed into a prime (49742080007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1260570 + ... + 1299430.

Almost surely, 2^49742080000 is an apocalyptic number.

49742080000 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 49742080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62144127045).

49742080000 is an abundant number, since it is smaller than the sum of its proper divisors (74546174090).

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

49742080000 is an frugal number, since it uses more digits than its factorization.

49742080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38903 (or 38868 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 49742080000 in words is "forty-nine billion, seven hundred forty-two million, eighty thousand".