1931494904640 has 896 divisors, whose sum is σ = 8364687360000. Its totient is φ = 418236327936.

The previous prime is 1931494904597. The next prime is 1931494904681. The reversal of 1931494904640 is 464094941391.

1931494904640 is a `hidden beast` number, since 1 + 9 + 3 + 1 + 4 + 94 + 90 + 464 + 0 = 666.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56289729 + ... + 56324031.

Almost surely, 2^{1931494904640} is an apocalyptic number.

1931494904640 is a gapful number since it is divisible by the number (10) 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 1931494904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4182343680000).

1931494904640 is an abundant number, since it is smaller than the sum of its proper divisors (6433192455360).

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

1931494904640 is a wasteful number, since it uses less digits than its factorization.

1931494904640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34369 (or 34339 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 1931494904640 in words is "one trillion, nine hundred thirty-one billion, four hundred ninety-four million, nine hundred four thousand, six hundred forty".