1408645080000 has 700 divisors, whose sum is σ = 5235589762480. Its totient is φ = 374367744000.

The previous prime is 1408645079971. The next prime is 1408645080061. The reversal of 1408645080000 is 805468041.

1408645080000 is a `hidden beast` number, since 1 + 4 + 0 + 8 + 645 + 0 + 8 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×1408645080000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 1325159469 + ... + 1325160531.

Almost surely, 2^{1408645080000} is an apocalyptic number.

1408645080000 is a gapful number since it is divisible by the number (10) 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 1408645080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617794881240).

1408645080000 is an abundant number, since it is smaller than the sum of its proper divisors (3826944682480).

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

1408645080000 is an equidigital number, since it uses as much as digits as its factorization.

1408645080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 1408645080000 in words is "one trillion, four hundred eight billion, six hundred forty-five million, eighty thousand".