1292260472640 has 336 divisors, whose sum is σ = 4833502654032. Its totient is φ = 315565867008.

The previous prime is 1292260472627. The next prime is 1292260472681. The reversal of 1292260472640 is 462740622921.

1292260472640 is a `hidden beast` number, since 1 + 2 + 92 + 260 + 47 + 264 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3254474304 + 1289005998336 = 57048^2 + 1135344^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1454842 + ... + 2168198.

Almost surely, 2^{1292260472640} is an apocalyptic number.

1292260472640 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 1292260472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416751327016).

1292260472640 is an abundant number, since it is smaller than the sum of its proper divisors (3541242181392).

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

1292260472640 is a wasteful number, since it uses less digits than its factorization.

1292260472640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713434 (or 713421 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 1292260472640 in words is "one trillion, two hundred ninety-two billion, two hundred sixty million, four hundred seventy-two thousand, six hundred forty".