1931424935040 has 192 divisors, whose sum is σ = 6849707936760. Its totient is φ = 501126414336.

The previous prime is 1931424935009. The next prime is 1931424935087. The reversal of 1931424935040 is 405394241391.

1931424935040 is a `hidden beast` number, since 1 + 9 + 3 + 14 + 249 + 350 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1741196367936 + 190228567104 = 1319544^2 + 436152^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 4318189 + ... + 4744428.

Almost surely, 2^{1931424935040} is an apocalyptic number.

1931424935040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1931424935040 is an abundant number, since it is smaller than the sum of its proper divisors (4918283001720).

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

1931424935040 is a wasteful number, since it uses less digits than its factorization.

1931424935040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9062679 (or 9062664 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 1931424935040 in words is "one trillion, nine hundred thirty-one billion, four hundred twenty-four million, nine hundred thirty-five thousand, forty".