49240296000 has 1008 divisors, whose sum is σ = 217215518832. Its totient is φ = 10579968000.

The previous prime is 49240295969. The next prime is 49240296011. The reversal of 49240296000 is 69204294.

49240296000 is a `hidden beast` number, since 4 + 9 + 2 + 40 + 2 + 9 + 600 + 0 = 666.

49240296000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 14590707264 + 34649588736 = 120792^2 + 186144^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 59975590 + ... + 59976410.

Almost surely, 2^49240296000 is an apocalyptic number.

49240296000 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 49240296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108607759416).

49240296000 is an abundant number, since it is smaller than the sum of its proper divisors (167975222832).

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

49240296000 is a wasteful number, since it uses less digits than its factorization.

49240296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 49240296000 in words is "forty-nine billion, two hundred forty million, two hundred ninety-six thousand".