7940001228090 has 128 divisors (see below), whose sum is σ = 20321690780160. Its totient is φ = 1978503168000.

The previous prime is 7940001228041. The next prime is 7940001228097. The reversal of 7940001228090 is 908221000497.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7940001228097) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145444600 + ... + 145499180.

It is an arithmetic number, because the mean of its divisors is an integer number (158763209220).

Almost surely, 2^{7940001228090} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7940001228090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10160845390080).

7940001228090 is an abundant number, since it is smaller than the sum of its proper divisors (12381689552070).

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

7940001228090 is a wasteful number, since it uses less digits than its factorization.

7940001228090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56648.

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 7940001228090 in words is "seven trillion, nine hundred forty billion, one million, two hundred twenty-eight thousand, ninety".