3951429108480 has 1152 divisors, whose sum is σ = 16464213964800. Its totient is φ = 878764032000.

The previous prime is 3951429108467. The next prime is 3951429108481. The reversal of 3951429108480 is 848019241593.

It is a happy number.

3951429108480 is a `hidden beast` number, since 3 + 9 + 5 + 142 + 9 + 10 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×3951429108480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3951429108481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1441599910 + ... + 1441602650.

It is an arithmetic number, because the mean of its divisors is an integer number (14291852400).

Almost surely, 2^{3951429108480} is an apocalyptic number.

3951429108480 is a gapful number since it is divisible by the number (30) 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 3951429108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8232106982400).

3951429108480 is an abundant number, since it is smaller than the sum of its proper divisors (12512784856320).

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

3951429108480 is a wasteful number, since it uses less digits than its factorization.

3951429108480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2938 (or 2918 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 3951429108480 in words is "three trillion, nine hundred fifty-one billion, four hundred twenty-nine million, one hundred eight thousand, four hundred eighty".