1292243842944 has 256 divisors, whose sum is σ = 3893465664000. Its totient is φ = 421819564032.

The previous prime is 1292243842913. The next prime is 1292243842957. The reversal of 1292243842944 is 4492483422921.

1292243842944 is a `hidden beast` number, since 12 + 9 + 224 + 384 + 29 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

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, 53614704 + ... + 53638800.

It is an arithmetic number, because the mean of its divisors is an integer number (15208850250).

Almost surely, 2^{1292243842944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1292243842944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946732832000).

1292243842944 is an abundant number, since it is smaller than the sum of its proper divisors (2601221821056).

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

1292243842944 is a wasteful number, since it uses less digits than its factorization.

1292243842944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24442 (or 24424 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 1292243842944 in words is "one trillion, two hundred ninety-two billion, two hundred forty-three million, eight hundred forty-two thousand, nine hundred forty-four".