374361402240 has 512 divisors, whose sum is σ = 1523733120000. Its totient is φ = 85090590720.

The previous prime is 374361402229. The next prime is 374361402287. The reversal of 374361402240 is 42204163473.

374361402240 is a `hidden beast` number, since 3 + 7 + 4 + 3 + 6 + 1 + 402 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 374361402195 and 374361402204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21885211 + ... + 21902309.

It is an arithmetic number, because the mean of its divisors is an integer number (2976041250).

Almost surely, 2^374361402240 is an apocalyptic number.

374361402240 is a gapful number since it is divisible by the number (30) 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 374361402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761866560000).

374361402240 is an abundant number, since it is smaller than the sum of its proper divisors (1149371717760).

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

374361402240 is a wasteful number, since it uses less digits than its factorization.

374361402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17315 (or 17297 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 374361402240 in words is "three hundred seventy-four billion, three hundred sixty-one million, four hundred two thousand, two hundred forty".