49077115971840 has 720 divisors, whose sum is σ = 191629678274496. Its totient is φ = 11893848883200.

The previous prime is 49077115971811. The next prime is 49077115971847. The reversal of 49077115971840 is 4817951177094.

49077115971840 is a `hidden beast` number, since 490 + 7 + 7 + 1 + 1 + 5 + 97 + 18 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×49077115971840² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (49077115971847) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7040179555 + ... + 7040186525.

Almost surely, 2^{49077115971840} is an apocalyptic number.

49077115971840 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 49077115971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95814839137248).

49077115971840 is an abundant number, since it is smaller than the sum of its proper divisors (142552562302656).

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

49077115971840 is a wasteful number, since it uses less digits than its factorization.

49077115971840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13188 (or 13165 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 63.

The spelling of 49077115971840 in words is "forty-nine trillion, seventy-seven billion, one hundred fifteen million, nine hundred seventy-one thousand, eight hundred forty".