7401651310872 has 512 divisors, whose sum is σ = 26155564646400. Its totient is φ = 1886619340800.

The previous prime is 7401651310853. The next prime is 7401651310897. The reversal of 7401651310872 is 2780131561047.

7401651310872 is a `hidden beast` number, since 7 + 40 + 1 + 6 + 513 + 10 + 87 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 485633172 + ... + 485648412.

It is an arithmetic number, because the mean of its divisors is an integer number (51085087200).

Almost surely, 2^{7401651310872} is an apocalyptic number.

7401651310872 is a gapful number since it is divisible by the number (72) 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 7401651310872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13077782323200).

7401651310872 is an abundant number, since it is smaller than the sum of its proper divisors (18753913335528).

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

7401651310872 is a wasteful number, since it uses less digits than its factorization.

7401651310872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16104 (or 16094 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 7401651310872 in words is "seven trillion, four hundred one billion, six hundred fifty-one million, three hundred ten thousand, eight hundred seventy-two".