10401834240 has 1152 divisors, whose sum is σ = 46465843200. Its totient is φ = 2149908480.

The previous prime is 10401834229. The next prime is 10401834257. The reversal of 10401834240 is 4243810401.

10401834240 is a `hidden beast` number, since 10 + 401 + 8 + 3 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 142490844 + ... + 142490916.

Almost surely, 2^10401834240 is an apocalyptic number.

10401834240 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 10401834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23232921600).

10401834240 is an abundant number, since it is smaller than the sum of its proper divisors (36064008960).

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

10401834240 is a wasteful number, since it uses less digits than its factorization.

10401834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 10401834240 in words is "ten billion, four hundred one million, eight hundred thirty-four thousand, two hundred forty".