48077620631040 has 1280 divisors, whose sum is σ = 211398593624064. Its totient is φ = 8996703436800.

The previous prime is 48077620630987. The next prime is 48077620631041. The reversal of 48077620631040 is 4013602677084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-3 number, since 3×48077620631040³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48077620631041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 315118614 + ... + 315271146.

Almost surely, 2^{48077620631040} is an apocalyptic number.

48077620631040 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 48077620631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105699296812032).

48077620631040 is an abundant number, since it is smaller than the sum of its proper divisors (163320972993024).

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

48077620631040 is a wasteful number, since it uses less digits than its factorization.

48077620631040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152631 (or 152615 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 48077620631040 in words is "forty-eight trillion, seventy-seven billion, six hundred twenty million, six hundred thirty-one thousand, forty".