398808023040 has 1152 divisors, whose sum is σ = 1671658391520. Its totient is φ = 89436192768.

The previous prime is 398808023021. The next prime is 398808023059. The reversal of 398808023040 is 40320808893.

It is an interprime number because it is at equal distance from previous prime (398808023021) and next prime (398808023059).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7524679654 + ... + 7524679706.

Almost surely, 2^398808023040 is an apocalyptic number.

398808023040 is a gapful number since it is divisible by the number (30) 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 398808023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835829195760).

398808023040 is an abundant number, since it is smaller than the sum of its proper divisors (1272850368480).

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

398808023040 is an frugal number, since it uses more digits than its factorization.

398808023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 398808023040 in words is "three hundred ninety-eight billion, eight hundred eight million, twenty-three thousand, forty".