49077964440 has 288 divisors, whose sum is σ = 170052339600. Its totient is φ = 12272601600.

The previous prime is 49077964417. The next prime is 49077964451. The reversal of 49077964440 is 4446977094.

49077964440 is a `hidden beast` number, since 49 + 0 + 77 + 96 + 4 + 440 = 666.

49077964440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13124091 + ... + 13127829.

Almost surely, 2^49077964440 is an apocalyptic number.

49077964440 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 49077964440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85026169800).

49077964440 is an abundant number, since it is smaller than the sum of its proper divisors (120974375160).

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

49077964440 is a wasteful number, since it uses less digits than its factorization.

49077964440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3895 (or 3869 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 49077964440 in words is "forty-nine billion, seventy-seven million, nine hundred sixty-four thousand, four hundred forty".