398149282440 has 1600 divisors, whose sum is σ = 1749157724160. Its totient is φ = 80655160320.

The previous prime is 398149282423. The next prime is 398149282511. The reversal of 398149282440 is 44282941893.

It is a happy number.

398149282440 is a `hidden beast` number, since 3 + 9 + 81 + 49 + 2 + 82 + 440 = 666.

It is a super-2 number, since 2×398149282440² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 3135033657 + ... + 3135033783.

Almost surely, 2^398149282440 is an apocalyptic number.

398149282440 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 398149282440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874578862080).

398149282440 is an abundant number, since it is smaller than the sum of its proper divisors (1351008441720).

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

398149282440 is a wasteful number, since it uses less digits than its factorization.

398149282440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 398149282440 in words is "three hundred ninety-eight billion, one hundred forty-nine million, two hundred eighty-two thousand, four hundred forty".