74031408000 has 896 divisors, whose sum is σ = 301574089440. Its totient is φ = 17915904000.

The previous prime is 74031407969. The next prime is 74031408013. The reversal of 74031408000 is 80413047.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 128303712 + ... + 128304288.

Almost surely, 2^74031408000 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 74031408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150787044720).

74031408000 is an abundant number, since it is smaller than the sum of its proper divisors (227542681440).

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

74031408000 is an equidigital number, since it uses as much as digits as its factorization.

74031408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

It can be divided in two parts, 7403 and 1408000, that added together give a triangular number (1415403 = T₁₆₈₂).

The spelling of 74031408000 in words is "seventy-four billion, thirty-one million, four hundred eight thousand".