1407407340964 has 9 divisors (see below), whose sum is σ = 2462966998891. Its totient is φ = 703702484140.

The previous prime is 1407407340919. The next prime is 1407407340971. The reversal of 1407407340964 is 4690437047041.

The square root of 1407407340964 is 1186342.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2076099 + ... + 2669269.

Almost surely, 2^{1407407340964} is an apocalyptic number.

1407407340964 is the 1186342-nd square number.

It is an amenable number.

1407407340964 is a deficient number, since it is larger than the sum of its proper divisors (1055559657927).

1407407340964 is an frugal number, since it uses more digits than its factorization.

1407407340964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186346 (or 593173 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 49.

Multiplying 1407407340964 by its sum of digits (49), we get a square (68962959707236 = 8304394²).

The spelling of 1407407340964 in words is "one trillion, four hundred seven billion, four hundred seven million, three hundred forty thousand, nine hundred sixty-four".