1961431040 has 52 divisors (see below), whose sum is σ = 4706909004. Its totient is φ = 784564224.

The previous prime is 1961430967. The next prime is 1961431057. The reversal of 1961431040 is 401341691.

It can be written as a sum of positive squares in 2 ways, for example, as 708837376 + 1252593664 = 26624^2 + 35392^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1961430994 and 1961431012.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27407 + ... + 68366.

Almost surely, 2^1961431040 is an apocalyptic number.

1961431040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1961431040 is an abundant number, since it is smaller than the sum of its proper divisors (2745477964).

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

1961431040 is an frugal number, since it uses more digits than its factorization.

1961431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95802 (or 95780 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 1961431040 is about 44288.0462427504. The cubic root of 1961431040 is about 1251.7694492576.

The spelling of 1961431040 in words is "one billion, nine hundred sixty-one million, four hundred thirty-one thousand, forty".