1407407340963 has 64 divisors (see below), whose sum is σ = 2155671705600. Its totient is φ = 809566617600.

The previous prime is 1407407340919. The next prime is 1407407340971. The reversal of 1407407340963 is 3690437047041.

It is a Cunningham number, because it is equal to 1186342²-1.

It is not a de Polignac number, because 1407407340963 - 2²⁰ = 1407406292387 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1407407340263) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93713431 + ... + 93728447.

It is an arithmetic number, because the mean of its divisors is an integer number (33682370400).

Almost surely, 2^{1407407340963} is an apocalyptic number.

1407407340963 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1407407340963 is a deficient number, since it is larger than the sum of its proper divisors (748264364637).

1407407340963 is a wasteful number, since it uses less digits than its factorization.

1407407340963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16732.

The product of its (nonzero) digits is 1524096, while the sum is 48.

The spelling of 1407407340963 in words is "one trillion, four hundred seven billion, four hundred seven million, three hundred forty thousand, nine hundred sixty-three".