10451643840 has 392 divisors, whose sum is σ = 40717153008. Its totient is φ = 2533109760.

The previous prime is 10451643773. The next prime is 10451643841. The reversal of 10451643840 is 4834615401.

10451643840 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 1 + 643 + 8 + 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 = 10451643795 and 10451643804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10451643841) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2564044 + ... + 2568116.

Almost surely, 2^10451643840 is an apocalyptic number.

10451643840 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 10451643840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20358576504).

10451643840 is an abundant number, since it is smaller than the sum of its proper divisors (30265509168).

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

10451643840 is an equidigital number, since it uses as much as digits as its factorization.

10451643840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4119 (or 4094 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 10451643840 in words is "ten billion, four hundred fifty-one million, six hundred forty-three thousand, eight hundred forty".