1961314140 has 96 divisors (see below), whose sum is σ = 6120817920. Its totient is φ = 466338816.

The previous prime is 1961314133. The next prime is 1961314163. The reversal of 1961314140 is 414131691.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1961314098 and 1961314107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31222 + ... + 69981.

It is an arithmetic number, because the mean of its divisors is an integer number (63758520).

Almost surely, 2^1961314140 is an apocalyptic number.

1961314140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1961314140 is an abundant number, since it is smaller than the sum of its proper divisors (4159503780).

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

1961314140 is a wasteful number, since it uses less digits than its factorization.

1961314140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101251 (or 101249 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1961314140 is about 44286.7264538710. The cubic root of 1961314140 is about 1251.7445805515.

The spelling of 1961314140 in words is "one billion, nine hundred sixty-one million, three hundred fourteen thousand, one hundred forty".