49577117040 has 960 divisors, whose sum is σ = 201387110400. Its totient is φ = 11176704000.

The previous prime is 49577116969. The next prime is 49577117077. The reversal of 49577117040 is 4071177594.

49577117040 is a `hidden beast` number, since 4 + 9 + 577 + 1 + 1 + 70 + 4 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 234962535 + ... + 234962745.

It is an arithmetic number, because the mean of its divisors is an integer number (209778240).

Almost surely, 2^49577117040 is an apocalyptic number.

49577117040 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 49577117040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100693555200).

49577117040 is an abundant number, since it is smaller than the sum of its proper divisors (151809993360).

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

49577117040 is a wasteful number, since it uses less digits than its factorization.

49577117040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 49577117040 in words is "forty-nine billion, five hundred seventy-seven million, one hundred seventeen thousand, forty".