1292972348640 has 192 divisors, whose sum is σ = 4804852469760. Its totient is φ = 286003077120.

The previous prime is 1292972348597. The next prime is 1292972348653. The reversal of 1292972348640 is 468432792921.

It is a happy number.

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, 6102505 + ... + 6310824.

It is an arithmetic number, because the mean of its divisors is an integer number (25025273280).

Almost surely, 2^{1292972348640} is an apocalyptic number.

1292972348640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1292972348640 is an abundant number, since it is smaller than the sum of its proper divisors (3511880121120).

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

1292972348640 is a wasteful number, since it uses less digits than its factorization.

1292972348640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12413385 (or 12413377 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 1292972348640 in words is "one trillion, two hundred ninety-two billion, nine hundred seventy-two million, three hundred forty-eight thousand, six hundred forty".