15374149440 has 448 divisors, whose sum is σ = 57760819200. Its totient is φ = 3428130816.

The previous prime is 15374149403. The next prime is 15374149447. The reversal of 15374149440 is 4494147351.

It is a happy number.

15374149440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 15374149392 and 15374149401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15374149447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5452351 + ... + 5455169.

It is an arithmetic number, because the mean of its divisors is an integer number (128930400).

Almost surely, 2^15374149440 is an apocalyptic number.

15374149440 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 15374149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28880409600).

15374149440 is an abundant number, since it is smaller than the sum of its proper divisors (42386669760).

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

15374149440 is a wasteful number, since it uses less digits than its factorization.

15374149440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 15374149440 in words is "fifteen billion, three hundred seventy-four million, one hundred forty-nine thousand, four hundred forty".