1292732006400 has 1224 divisors, whose sum is σ = 5111441846784. Its totient is φ = 322751692800.

The previous prime is 1292732006393. The next prime is 1292732006413. The reversal of 1292732006400 is 46002372921.

1292732006400 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 7 + 3 + 2 + 0 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1224).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6768230305 + ... + 6768230495.

Almost surely, 2^{1292732006400} is an apocalyptic number.

1292732006400 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 1292732006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555720923392).

1292732006400 is an abundant number, since it is smaller than the sum of its proper divisors (3818709840384).

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

1292732006400 is an frugal number, since it uses more digits than its factorization.

1292732006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 1292732006400 in words is "one trillion, two hundred ninety-two billion, seven hundred thirty-two million, six thousand, four hundred".