398025239040 has 1600 divisors, whose sum is σ = 1732851090432. Its totient is φ = 85996339200.

The previous prime is 398025239039. The next prime is 398025239057. The reversal of 398025239040 is 40932520893.

It is a happy number.

398025239040 is a `hidden beast` number, since 3 + 9 + 8 + 0 + 252 + 390 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 919226664 + ... + 919227096.

Almost surely, 2^398025239040 is an apocalyptic number.

398025239040 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 398025239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866425545216).

398025239040 is an abundant number, since it is smaller than the sum of its proper divisors (1334825851392).

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

398025239040 is a wasteful number, since it uses less digits than its factorization.

398025239040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 398025239040 in words is "three hundred ninety-eight billion, twenty-five million, two hundred thirty-nine thousand, forty".