1398408935040 has 3072 divisors, whose sum is σ = 6264949017600. Its totient is φ = 294298583040.

The previous prime is 1398408934999. The next prime is 1398408935047. The reversal of 1398408935040 is 405398048931.

1398408935040 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 40 + 8 + 93 + 504 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1398408935047) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 22924736610 + ... + 22924736670.

It is an arithmetic number, because the mean of its divisors is an integer number (2039371425).

Almost surely, 2^{1398408935040} is an apocalyptic number.

1398408935040 is a gapful number since it is divisible by the number (10) 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 1398408935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3132474508800).

1398408935040 is an abundant number, since it is smaller than the sum of its proper divisors (4866540082560).

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

1398408935040 is a wasteful number, since it uses less digits than its factorization.

1398408935040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 1398408935040 in words is "one trillion, three hundred ninety-eight billion, four hundred eight million, nine hundred thirty-five thousand, forty".