379390249440 has 480 divisors, whose sum is σ = 1371314520576. Its totient is φ = 98752711680.

The previous prime is 379390249393. The next prime is 379390249477. The reversal of 379390249440 is 44942093973.

It is a happy number.

379390249440 is a `hidden beast` number, since 3 + 7 + 9 + 390 + 249 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×379390249440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 94774479 + ... + 94778481.

Almost surely, 2^379390249440 is an apocalyptic number.

379390249440 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 379390249440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685657260288).

379390249440 is an abundant number, since it is smaller than the sum of its proper divisors (991924271136).

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

379390249440 is a wasteful number, since it uses less digits than its factorization.

379390249440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4204 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 379390249440 in words is "three hundred seventy-nine billion, three hundred ninety million, two hundred forty-nine thousand, four hundred forty".