4290409877922 has 192 divisors, whose sum is σ = 10802847744000. Its totient is φ = 1205369424000.

The previous prime is 4290409877903. The next prime is 4290409877981. The reversal of 4290409877922 is 2297789040924.

4290409877922 is a `hidden beast` number, since 42 + 90 + 409 + 87 + 7 + 9 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 4290409877922.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2146277079 + ... + 2146279077.

It is an arithmetic number, because the mean of its divisors is an integer number (56264832000).

Almost surely, 2^{4290409877922} is an apocalyptic number.

4290409877922 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4290409877922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5401423872000).

4290409877922 is an abundant number, since it is smaller than the sum of its proper divisors (6512437866078).

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

4290409877922 is a wasteful number, since it uses less digits than its factorization.

4290409877922 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3189 (or 3186 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 4290409877922 in words is "four trillion, two hundred ninety billion, four hundred nine million, eight hundred seventy-seven thousand, nine hundred twenty-two".