376212643194240 has 768 divisors, whose sum is σ = 1353646192803840. Its totient is φ = 96200939520000.

The previous prime is 376212643194217. The next prime is 376212643194257. The reversal of 376212643194240 is 42491346212673.

376212643194240 is a `hidden beast` number, since 3 + 7 + 6 + 2 + 126 + 431 + 9 + 42 + 40 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4086956215 + ... + 4087048265.

It is an arithmetic number, because the mean of its divisors is an integer number (1762560146880).

Almost surely, 2^{376212643194240} is an apocalyptic number.

376212643194240 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 376212643194240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676823096401920).

376212643194240 is an abundant number, since it is smaller than the sum of its proper divisors (977433549609600).

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

376212643194240 is a wasteful number, since it uses less digits than its factorization.

376212643194240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92391 (or 92376 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 376212643194240 in words is "three hundred seventy-six trillion, two hundred twelve billion, six hundred forty-three million, one hundred ninety-four thousand, two hundred forty".