4097930390400 has 768 divisors, whose sum is σ = 16949615155200. Its totient is φ = 845370777600.

The previous prime is 4097930390377. The next prime is 4097930390401. The reversal of 4097930390400 is 40930397904.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4097930390400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4097930390401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102728859 + ... + 102768741.

It is an arithmetic number, because the mean of its divisors is an integer number (22069811400).

Almost surely, 2^{4097930390400} is an apocalyptic number.

4097930390400 is a gapful number since it is divisible by the number (40) 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 4097930390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8474807577600).

4097930390400 is an abundant number, since it is smaller than the sum of its proper divisors (12851684764800).

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

4097930390400 is a wasteful number, since it uses less digits than its factorization.

4097930390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40067 (or 40050 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 48.

The spelling of 4097930390400 in words is "four trillion, ninety-seven billion, nine hundred thirty million, three hundred ninety thousand, four hundred".