1405279575456 has 48 divisors (see below), whose sum is σ = 3688931937600. Its totient is φ = 468417248768.

The previous prime is 1405279575443. The next prime is 1405279575493. The reversal of 1405279575456 is 6545759725041.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×1405279575456³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1405279575456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6140005 + ... + 6364763.

It is an arithmetic number, because the mean of its divisors is an integer number (76852748700).

Almost surely, 2^{1405279575456} is an apocalyptic number.

1405279575456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1405279575456 is an abundant number, since it is smaller than the sum of its proper divisors (2283652362144).

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

1405279575456 is a wasteful number, since it uses less digits than its factorization.

1405279575456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289901 (or 289893 counting only the distinct ones).

The product of its (nonzero) digits is 52920000, while the sum is 60.

The spelling of 1405279575456 in words is "one trillion, four hundred five billion, two hundred seventy-nine million, five hundred seventy-five thousand, four hundred fifty-six".