374856071040 has 384 divisors, whose sum is σ = 1495168852320. Its totient is φ = 85528412160.

The previous prime is 374856071039. The next prime is 374856071047. The reversal of 374856071040 is 40170658473.

374856071040 is a `hidden beast` number, since 3 + 7 + 48 + 560 + 7 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (374856071047) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 903112 + ... + 1251128.

Almost surely, 2^374856071040 is an apocalyptic number.

374856071040 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 374856071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747584426160).

374856071040 is an abundant number, since it is smaller than the sum of its proper divisors (1120312781280).

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

374856071040 is a wasteful number, since it uses less digits than its factorization.

374856071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348070 (or 348055 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 374856071040 in words is "three hundred seventy-four billion, eight hundred fifty-six million, seventy-one thousand, forty".