8406290113408 has 128 divisors (see below), whose sum is σ = 19293360710400. Its totient is φ = 3610872545280.

The previous prime is 8406290113379. The next prime is 8406290113457. The reversal of 8406290113408 is 8043110926048.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1124128 + ... + 4251616.

It is an arithmetic number, because the mean of its divisors is an integer number (150729380550).

Almost surely, 2^{8406290113408} is an apocalyptic number.

8406290113408 is a gapful number since it is divisible by the number (88) 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 8406290113408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9646680355200).

8406290113408 is an abundant number, since it is smaller than the sum of its proper divisors (10887070596992).

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

8406290113408 is a wasteful number, since it uses less digits than its factorization.

8406290113408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3127620 (or 3127608 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The spelling of 8406290113408 in words is "eight trillion, four hundred six billion, two hundred ninety million, one hundred thirteen thousand, four hundred eight".