1914131640960 has 3072 divisors, whose sum is σ = 9259608960000. Its totient is φ = 371960709120.

The previous prime is 1914131640937. The next prime is 1914131640979. The reversal of 1914131640960 is 690461314191.

1914131640960 is a `hidden beast` number, since 1 + 91 + 413 + 1 + 64 + 0 + 96 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12191921202 + ... + 12191921358.

It is an arithmetic number, because the mean of its divisors is an integer number (3014195625).

Almost surely, 2^{1914131640960} is an apocalyptic number.

1914131640960 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 1914131640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4629804480000).

1914131640960 is an abundant number, since it is smaller than the sum of its proper divisors (7345477319040).

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

1914131640960 is a wasteful number, since it uses less digits than its factorization.

1914131640960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 1914131640960 in words is "one trillion, nine hundred fourteen billion, one hundred thirty-one million, six hundred forty thousand, nine hundred sixty".