10180326240 has 1440 divisors, whose sum is σ = 47302605504. Its totient is φ = 2043740160.

The previous prime is 10180326197. The next prime is 10180326259. The reversal of 10180326240 is 4262308101.

10180326240 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 0 + 32 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 248300620 + ... + 248300660.

Almost surely, 2^10180326240 is an apocalyptic number.

10180326240 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 10180326240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23651302752).

10180326240 is an abundant number, since it is smaller than the sum of its proper divisors (37122279264).

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

10180326240 is a wasteful number, since it uses less digits than its factorization.

10180326240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 10180326240 in words is "ten billion, one hundred eighty million, three hundred twenty-six thousand, two hundred forty".