108756541440 has 672 divisors, whose sum is σ = 400414150656. Its totient is φ = 27249868800.

The previous prime is 108756541433. The next prime is 108756541441. The reversal of 108756541440 is 44145657801.

108756541440 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 565 + 41 + 4 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (108756541441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 856350657 + ... + 856350783.

Almost surely, 2^108756541440 is an apocalyptic number.

108756541440 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 108756541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200207075328).

108756541440 is an abundant number, since it is smaller than the sum of its proper divisors (291657609216).

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

108756541440 is a wasteful number, since it uses less digits than its factorization.

108756541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 108756541440 in words is "one hundred eight billion, seven hundred fifty-six million, five hundred forty-one thousand, four hundred forty".