12962903040 has 616 divisors, whose sum is σ = 48971576448. Its totient is φ = 3284582400.

The previous prime is 12962903021. The next prime is 12962903071. The reversal of 12962903040 is 4030926921.

12962903040 is a `hidden beast` number, since 1 + 29 + 629 + 0 + 3 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12962902986 and 12962903004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 85846965 + ... + 85847115.

Almost surely, 2^12962903040 is an apocalyptic number.

12962903040 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 12962903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24485788224).

12962903040 is an abundant number, since it is smaller than the sum of its proper divisors (36008673408).

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

12962903040 is an equidigital number, since it uses as much as digits as its factorization.

12962903040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 12962903040 in words is "twelve billion, nine hundred sixty-two million, nine hundred three thousand, forty".