1961372464128 has 1584 divisors, whose sum is σ = 7604618231808. Its totient is φ = 480743424000.

The previous prime is 1961372464123. The next prime is 1961372464141. The reversal of 1961372464128 is 8214642731691.

1961372464128 is a `hidden beast` number, since 1 + 9 + 613 + 7 + 2 + 4 + 6 + 4 + 12 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1961372464123) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7237536633 + ... + 7237536903.

Almost surely, 2^{1961372464128} is an apocalyptic number.

1961372464128 is a gapful number since it is divisible by the number (18) 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 1961372464128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3802309115904).

1961372464128 is an abundant number, since it is smaller than the sum of its proper divisors (5643245767680).

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

1961372464128 is a wasteful number, since it uses less digits than its factorization.

1961372464128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 372 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 1961372464128 in words is "one trillion, nine hundred sixty-one billion, three hundred seventy-two million, four hundred sixty-four thousand, one hundred twenty-eight".