8040191544 has 576 divisors, whose sum is σ = 29976710400. Its totient is φ = 1970749440.

The previous prime is 8040191521. The next prime is 8040191567. The reversal of 8040191544 is 4451910408.

It is an interprime number because it is at equal distance from previous prime (8040191521) and next prime (8040191567).

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 = 8040191499 and 8040191508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31284664 + ... + 31284920.

It is an arithmetic number, because the mean of its divisors is an integer number (52042900).

Almost surely, 2^8040191544 is an apocalyptic number.

8040191544 is a gapful number since it is divisible by the number (84) 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 8040191544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14988355200).

8040191544 is an abundant number, since it is smaller than the sum of its proper divisors (21936518856).

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

8040191544 is a wasteful number, since it uses less digits than its factorization.

8040191544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 8040191544 is about 89667.1151760778. The cubic root of 8040191544 is about 2003.3437020463.

The spelling of 8040191544 in words is "eight billion, forty million, one hundred ninety-one thousand, five hundred forty-four".