15040016442 has 64 divisors (see below), whose sum is σ = 36507542400. Its totient is φ = 4551719040.

The previous prime is 15040016441. The next prime is 15040016443. The reversal of 15040016442 is 24461004051.

15040016442 is a `hidden beast` number, since 15 + 0 + 4 + 0 + 0 + 1 + 644 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (15040016441) and next prime (15040016443).

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

It is not an unprimeable number, because it can be changed into a prime (15040016441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457534 + ... + 489302.

It is an arithmetic number, because the mean of its divisors is an integer number (570430350).

Almost surely, 2^15040016442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15040016442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18253771200).

15040016442 is an abundant number, since it is smaller than the sum of its proper divisors (21467525958).

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

15040016442 is a wasteful number, since it uses less digits than its factorization.

15040016442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32588 (or 32582 counting only the distinct ones).

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

The spelling of 15040016442 in words is "fifteen billion, forty million, sixteen thousand, four hundred forty-two".