374074122240 has 2016 divisors, whose sum is σ = 1713168999360. Its totient is φ = 77587808256.

The previous prime is 374074122223. The next prime is 374074122259. The reversal of 374074122240 is 42221470473.

374074122240 is a `hidden beast` number, since 3 + 7 + 407 + 4 + 1 + 2 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 = 374074122195 and 374074122204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6340239331 + ... + 6340239389.

It is an arithmetic number, because the mean of its divisors is an integer number (849786210).

Almost surely, 2^374074122240 is an apocalyptic number.

374074122240 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 374074122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856584499680).

374074122240 is an abundant number, since it is smaller than the sum of its proper divisors (1339094877120).

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

374074122240 is an equidigital number, since it uses as much as digits as its factorization.

374074122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 374074122240 in words is "three hundred seventy-four billion, seventy-four million, one hundred twenty-two thousand, two hundred forty".