10148970240 has 216 divisors, whose sum is σ = 35278156368. Its totient is φ = 2693775360.

The previous prime is 10148970229. The next prime is 10148970263. The reversal of 10148970240 is 4207984101.

10148970240 is a `hidden beast` number, since 101 + 489 + 70 + 2 + 4 + 0 = 666.

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 = 10148970195 and 10148970204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2613100 + ... + 2616980.

It is an arithmetic number, because the mean of its divisors is an integer number (163324798).

Almost surely, 2^10148970240 is an apocalyptic number.

10148970240 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 10148970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17639078184).

10148970240 is an abundant number, since it is smaller than the sum of its proper divisors (25129186128).

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

10148970240 is a wasteful number, since it uses less digits than its factorization.

10148970240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4135 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 10148970240 in words is "ten billion, one hundred forty-eight million, nine hundred seventy thousand, two hundred forty".