398377751040 has 400 divisors, whose sum is σ = 1447013367360. Its totient is φ = 104733941760.

The previous prime is 398377751029. The next prime is 398377751053. The reversal of 398377751040 is 40157773893.

398377751040 is a `hidden beast` number, since 3 + 9 + 83 + 7 + 7 + 7 + 510 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14709031 + ... + 14736089.

Almost surely, 2^398377751040 is an apocalyptic number.

398377751040 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 398377751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723506683680).

398377751040 is an abundant number, since it is smaller than the sum of its proper divisors (1048635616320).

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

398377751040 is an equidigital number, since it uses as much as digits as its factorization.

398377751040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27165 (or 27140 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 398377751040 in words is "three hundred ninety-eight billion, three hundred seventy-seven million, seven hundred fifty-one thousand, forty".