398158105440 has 288 divisors, whose sum is σ = 1342367582976. Its totient is φ = 99167523840.

The previous prime is 398158105409. The next prime is 398158105463. The reversal of 398158105440 is 44501851893.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 398158105440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12286699 + ... + 12319061.

It is an arithmetic number, because the mean of its divisors is an integer number (4660998552).

Almost surely, 2^398158105440 is an apocalyptic number.

398158105440 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 398158105440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671183791488).

398158105440 is an abundant number, since it is smaller than the sum of its proper divisors (944209477536).

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

398158105440 is a wasteful number, since it uses less digits than its factorization.

398158105440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32490 (or 32463 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 398158105440 in words is "three hundred ninety-eight billion, one hundred fifty-eight million, one hundred five thousand, four hundred forty".