10294001640 has 480 divisors, whose sum is σ = 39383162280. Its totient is φ = 2396998656.

The previous prime is 10294001629. The next prime is 10294001671. The reversal of 10294001640 is 4610049201.

10294001640 is a `hidden beast` number, since 10 + 2 + 9 + 4 + 0 + 0 + 1 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9367529796 + 926471844 = 96786^2 + 30438^2 .

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 119 ways as a sum of consecutive naturals, for example, 15204982 + ... + 15205658.

Almost surely, 2^10294001640 is an apocalyptic number.

10294001640 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 10294001640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19691581140).

10294001640 is an abundant number, since it is smaller than the sum of its proper divisors (29089160640).

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

10294001640 is a wasteful number, since it uses less digits than its factorization.

10294001640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10294001640 in words is "ten billion, two hundred ninety-four million, one thousand, six hundred forty".