1407148640 has 48 divisors (see below), whose sum is σ = 3327074352. Its totient is φ = 562404864.

The previous prime is 1407148627. The next prime is 1407148669. The reversal of 1407148640 is 468417041.

1407148640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1407148640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252767 + ... + 258273.

It is an arithmetic number, because the mean of its divisors is an integer number (69314049).

Almost surely, 2^1407148640 is an apocalyptic number.

1407148640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1407148640 is an abundant number, since it is smaller than the sum of its proper divisors (1919925712).

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

1407148640 is a wasteful number, since it uses less digits than its factorization.

1407148640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7119 (or 7111 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 1407148640 is about 37511.9799530763. The cubic root of 1407148640 is about 1120.5897829080.

The spelling of 1407148640 in words is "one billion, four hundred seven million, one hundred forty-eight thousand, six hundred forty".