6400290435840 has 2304 divisors, whose sum is σ = 28213086720000. Its totient is φ = 1369491701760.

The previous prime is 6400290435779. The next prime is 6400290435953. The reversal of 6400290435840 is 485340920046.

6400290435840 is a `hidden beast` number, since 6 + 4 + 0 + 0 + 29 + 0 + 43 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 35360720550 + ... + 35360720730.

Almost surely, 2^{6400290435840} is an apocalyptic number.

6400290435840 is a gapful number since it is divisible by the number (60) 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 6400290435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14106543360000).

6400290435840 is an abundant number, since it is smaller than the sum of its proper divisors (21812796284160).

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

6400290435840 is a wasteful number, since it uses less digits than its factorization.

6400290435840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 6400290435840 in words is "six trillion, four hundred billion, two hundred ninety million, four hundred thirty-five thousand, eight hundred forty".