919131395040 has 384 divisors, whose sum is σ = 3323291811840. Its totient is φ = 237012480000.

The previous prime is 919131395011. The next prime is 919131395051. The reversal of 919131395040 is 40593131919.

919131395040 is a `hidden beast` number, since 9 + 1 + 9 + 1 + 3 + 139 + 504 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 306273540 + ... + 306276540.

It is an arithmetic number, because the mean of its divisors is an integer number (8654405760).

Almost surely, 2^919131395040 is an apocalyptic number.

919131395040 is a gapful number since it is divisible by the number (90) 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 919131395040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661645905920).

919131395040 is an abundant number, since it is smaller than the sum of its proper divisors (2404160416800).

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

919131395040 is a wasteful number, since it uses less digits than its factorization.

919131395040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5343 (or 5329 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The spelling of 919131395040 in words is "nine hundred nineteen billion, one hundred thirty-one million, three hundred ninety-five thousand, forty".