1405649355264 has 1920 divisors, whose sum is σ = 5701080464640. Its totient is φ = 341118812160.

The previous prime is 1405649355251. The next prime is 1405649355269. The reversal of 1405649355264 is 4625539465041.

1405649355264 is a `hidden beast` number, since 1 + 4 + 0 + 564 + 9 + 3 + 55 + 26 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1405649355264.

It is not an unprimeable number, because it can be changed into a prime (1405649355269) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10260214204 + ... + 10260214340.

It is an arithmetic number, because the mean of its divisors is an integer number (2969312742).

Almost surely, 2^{1405649355264} is an apocalyptic number.

1405649355264 is a gapful number since it is divisible by the number (14) 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 1405649355264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850540232320).

1405649355264 is an abundant number, since it is smaller than the sum of its proper divisors (4295431109376).

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

1405649355264 is an equidigital number, since it uses as much as digits as its factorization.

1405649355264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 1405649355264 in words is "one trillion, four hundred five billion, six hundred forty-nine million, three hundred fifty-five thousand, two hundred sixty-four".