1404624768672 has 192 divisors, whose sum is σ = 3873496080384. Its totient is φ = 445296368640.

The previous prime is 1404624768661. The next prime is 1404624768683. The reversal of 1404624768672 is 2768674264041.

It is an interprime number because it is at equal distance from previous prime (1404624768661) and next prime (1404624768683).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22813513 + ... + 22874999.

It is an arithmetic number, because the mean of its divisors is an integer number (20174458752).

Almost surely, 2^{1404624768672} is an apocalyptic number.

1404624768672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1404624768672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936748040192).

1404624768672 is an abundant number, since it is smaller than the sum of its proper divisors (2468871311712).

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

1404624768672 is a wasteful number, since it uses less digits than its factorization.

1404624768672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61691 (or 61683 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 57.

The spelling of 1404624768672 in words is "one trillion, four hundred four billion, six hundred twenty-four million, seven hundred sixty-eight thousand, six hundred seventy-two".