1407172932480 has 128 divisors (see below), whose sum is σ = 5126130017280. Its totient is φ = 321639524352.

The previous prime is 1407172932463. The next prime is 1407172932547. The reversal of 1407172932480 is 842392717041.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 52336744 + ... + 52363623.

It is an arithmetic number, because the mean of its divisors is an integer number (40047890760).

Almost surely, 2^{1407172932480} is an apocalyptic number.

1407172932480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1407172932480 is an abundant number, since it is smaller than the sum of its proper divisors (3718957084800).

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

1407172932480 is a wasteful number, since it uses less digits than its factorization.

1407172932480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104700396 (or 104700384 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 1407172932480 in words is "one trillion, four hundred seven billion, one hundred seventy-two million, nine hundred thirty-two thousand, four hundred eighty".