10149410880 has 336 divisors, whose sum is σ = 41998270080. Its totient is φ = 2197684224.

The previous prime is 10149410783. The next prime is 10149410891. The reversal of 10149410880 is 8801494101.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×10149410880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369792 + ... + 396288.

Almost surely, 2^10149410880 is an apocalyptic number.

10149410880 is a gapful number since it is divisible by the number (10) 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 10149410880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20999135040).

10149410880 is an abundant number, since it is smaller than the sum of its proper divisors (31848859200).

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

10149410880 is a wasteful number, since it uses less digits than its factorization.

10149410880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26546 (or 26533 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 10149410880 in words is "ten billion, one hundred forty-nine million, four hundred ten thousand, eight hundred eighty".