41292651120 has 160 divisors (see below), whose sum is σ = 146645614080. Its totient is φ = 9415633920.

The previous prime is 41292651119. The next prime is 41292651131. The reversal of 41292651120 is 2115629214.

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, 674590 + ... + 733250.

It is an arithmetic number, because the mean of its divisors is an integer number (916535088).

Almost surely, 2^41292651120 is an apocalyptic number.

41292651120 is a gapful number since it is divisible by the number (40) 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 41292651120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73322807040).

41292651120 is an abundant number, since it is smaller than the sum of its proper divisors (105352962960).

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

41292651120 is a wasteful number, since it uses less digits than its factorization.

41292651120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59103 (or 59097 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 41292651120 in words is "forty-one billion, two hundred ninety-two million, six hundred fifty-one thousand, one hundred twenty".