1291549406400 has 840 divisors, whose sum is σ = 5228012725056. Its totient is φ = 310140057600.

The previous prime is 1291549406327. The next prime is 1291549406417. The reversal of 1291549406400 is 46049451921.

1291549406400 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 549 + 40 + 64 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 152534967 + ... + 152543433.

Almost surely, 2^{1291549406400} is an apocalyptic number.

1291549406400 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 1291549406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614006362528).

1291549406400 is an abundant number, since it is smaller than the sum of its proper divisors (3936463318656).

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

1291549406400 is a wasteful number, since it uses less digits than its factorization.

1291549406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8619 (or 8595 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1291549406400 in words is "one trillion, two hundred ninety-one billion, five hundred forty-nine million, four hundred six thousand, four hundred".