7210040992128 has 512 divisors, whose sum is σ = 24684394291200. Its totient is φ = 2053557411840.

The previous prime is 7210040992127. The next prime is 7210040992169. The reversal of 7210040992128 is 8212990400127.

7210040992128 is a `hidden beast` number, since 7 + 21 + 0 + 0 + 409 + 9 + 212 + 8 = 666.

It is a super-2 number, since 2×7210040992128² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7210040992127) 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, 31921126 + ... + 32146202.

It is an arithmetic number, because the mean of its divisors is an integer number (48211707600).

Almost surely, 2^{7210040992128} is an apocalyptic number.

7210040992128 is a gapful number since it is divisible by the number (78) 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 7210040992128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12342197145600).

7210040992128 is an abundant number, since it is smaller than the sum of its proper divisors (17474353299072).

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

7210040992128 is a wasteful number, since it uses less digits than its factorization.

7210040992128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225167 (or 225149 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 7210040992128 in words is "seven trillion, two hundred ten billion, forty million, nine hundred ninety-two thousand, one hundred twenty-eight".