1961147040 has 192 divisors, whose sum is σ = 6466521600. Its totient is φ = 498950144.

The previous prime is 1961147033. The next prime is 1961147057. The reversal of 1961147040 is 407411691.

It is a junction number, because it is equal to n+sod(n) for n = 1961146992 and 1961147010.

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, 1238089 + ... + 1239671.

It is an arithmetic number, because the mean of its divisors is an integer number (33679800).

Almost surely, 2^1961147040 is an apocalyptic number.

1961147040 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 1961147040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3233260800).

1961147040 is an abundant number, since it is smaller than the sum of its proper divisors (4505374560).

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

1961147040 is a wasteful number, since it uses less digits than its factorization.

1961147040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 1961147040 is about 44284.8398439014. The cubic root of 1961147040 is about 1251.7090308393.

The spelling of 1961147040 in words is "one billion, nine hundred sixty-one million, one hundred forty-seven thousand, forty".