1390106408040 has 1024 divisors, whose sum is σ = 5763916800000. Its totient is φ = 290954280960.

The previous prime is 1390106408039. The next prime is 1390106408069. The reversal of 1390106408040 is 408046010931.

1390106408040 is a `hidden beast` number, since 1 + 3 + 9 + 0 + 1 + 0 + 640 + 8 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1390106407986 and 1390106408004.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 516959016 + ... + 516961704.

It is an arithmetic number, because the mean of its divisors is an integer number (5628825000).

Almost surely, 2^{1390106408040} is an apocalyptic number.

1390106408040 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 1390106408040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2881958400000).

1390106408040 is an abundant number, since it is smaller than the sum of its proper divisors (4373810391960).

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

1390106408040 is a wasteful number, since it uses less digits than its factorization.

1390106408040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1390106408040 in words is "one trillion, three hundred ninety billion, one hundred six million, four hundred eight thousand, forty".