10148819040 has 144 divisors (see below), whose sum is σ = 35369949888. Its totient is φ = 2648752128.

The previous prime is 10148818951. The next prime is 10148819041. The reversal of 10148819040 is 4091884101.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×10148819040³ (a number of 31 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10148818986 and 10148819004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10148819041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7297 + ... + 142656.

It is an arithmetic number, because the mean of its divisors is an integer number (245624652).

Almost surely, 2^10148819040 is an apocalyptic number.

10148819040 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 10148819040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17684974944).

10148819040 is an abundant number, since it is smaller than the sum of its proper divisors (25221130848).

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

10148819040 is a wasteful number, since it uses less digits than its factorization.

10148819040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150021 (or 150010 counting only the distinct ones).

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

The spelling of 10148819040 in words is "ten billion, one hundred forty-eight million, eight hundred nineteen thousand, forty".