74086988040 has 1152 divisors, whose sum is σ = 307289808000. Its totient is φ = 15736135680.

The previous prime is 74086988011. The next prime is 74086988051. The reversal of 74086988040 is 4088968047.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2389902825 + ... + 2389902855.

It is an arithmetic number, because the mean of its divisors is an integer number (266744625).

Almost surely, 2^74086988040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74086988040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153644904000).

74086988040 is an abundant number, since it is smaller than the sum of its proper divisors (233202819960).

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

74086988040 is a wasteful number, since it uses less digits than its factorization.

74086988040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 74086988040 in words is "seventy-four billion, eighty-six million, nine hundred eighty-eight thousand, forty".