1291912934400 has 1980 divisors, whose sum is σ = 5555401445440. Its totient is φ = 295612416000.

The previous prime is 1291912934399. The next prime is 1291912934413. The reversal of 1291912934400 is 44392191921.

1291912934400 is a `hidden beast` number, since 1 + 2 + 9 + 191 + 29 + 34 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1980).

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 179 ways as a sum of consecutive naturals, for example, 4767206265 + ... + 4767206535.

Almost surely, 2^{1291912934400} is an apocalyptic number.

1291912934400 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 1291912934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777700722720).

1291912934400 is an abundant number, since it is smaller than the sum of its proper divisors (4263488511040).

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

1291912934400 is a wasteful number, since it uses less digits than its factorization.

1291912934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 1291912934400 in words is "one trillion, two hundred ninety-one billion, nine hundred twelve million, nine hundred thirty-four thousand, four hundred".