10641245400 has 240 divisors, whose sum is σ = 37120046040. Its totient is φ = 2825280000.

The previous prime is 10641245341. The next prime is 10641245401. The reversal of 10641245400 is 454214601.

10641245400 is a `hidden beast` number, since 10 + 6 + 4 + 1 + 245 + 400 = 666.

It is a super-2 number, since 2×10641245400² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10641245401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4064892 + ... + 4067508.

Almost surely, 2^10641245400 is an apocalyptic number.

10641245400 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 10641245400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18560023020).

10641245400 is an abundant number, since it is smaller than the sum of its proper divisors (26478800640).

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

10641245400 is a wasteful number, since it uses less digits than its factorization.

10641245400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2896 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 10641245400 in words is "ten billion, six hundred forty-one million, two hundred forty-five thousand, four hundred".