34401141460 has 96 divisors (see below), whose sum is σ = 86598908928. Its totient is φ = 11231654400.

The previous prime is 34401141421. The next prime is 34401141557. The reversal of 34401141460 is 6414110443.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172810 + ... + 314110.

It is an arithmetic number, because the mean of its divisors is an integer number (902071968).

Almost surely, 2^34401141460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34401141460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43299454464).

34401141460 is an abundant number, since it is smaller than the sum of its proper divisors (52197767468).

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

34401141460 is a wasteful number, since it uses less digits than its factorization.

34401141460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141401 (or 141399 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

It can be divided in two parts, 3440 and 1141460, that added together give a square (1144900 = 1070²).

The spelling of 34401141460 in words is "thirty-four billion, four hundred one million, one hundred forty-one thousand, four hundred sixty".