109823626440 has 1536 divisors, whose sum is σ = 464648970240. Its totient is φ = 22992076800.

The previous prime is 109823626421. The next prime is 109823626453. The reversal of 109823626440 is 44626328901.

109823626440 is a `hidden beast` number, since 10 + 9 + 8 + 2 + 3 + 626 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×109823626440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1546811605 + ... + 1546811675.

It is an arithmetic number, because the mean of its divisors is an integer number (302505840).

Almost surely, 2^109823626440 is an apocalyptic number.

109823626440 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 109823626440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232324485120).

109823626440 is an abundant number, since it is smaller than the sum of its proper divisors (354825343800).

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

109823626440 is a wasteful number, since it uses less digits than its factorization.

109823626440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 109823626440 in words is "one hundred nine billion, eight hundred twenty-three million, six hundred twenty-six thousand, four hundred forty".