88038973440 has 448 divisors, whose sum is σ = 341510843520. Its totient is φ = 21339832320.

The previous prime is 88038973417. The next prime is 88038973453. The reversal of 88038973440 is 4437983088.

88038973440 is a `hidden beast` number, since 8 + 80 + 38 + 97 + 3 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12161502 + ... + 12168738.

It is an arithmetic number, because the mean of its divisors is an integer number (762300990).

Almost surely, 2^88038973440 is an apocalyptic number.

88038973440 is a gapful number since it is divisible by the number (80) 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 88038973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170755421760).

88038973440 is an abundant number, since it is smaller than the sum of its proper divisors (253471870080).

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

88038973440 is a wasteful number, since it uses less digits than its factorization.

88038973440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7288 (or 7258 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 88038973440 in words is "eighty-eight billion, thirty-eight million, nine hundred seventy-three thousand, four hundred forty".