15415400000 has 756 divisors, whose sum is σ = 52649044308. Its totient is φ = 4435200000.

The previous prime is 15415399981. The next prime is 15415400003. The reversal of 15415400000 is 451451.

It can be written as a sum of positive squares in 6 ways, for example, as 14577181696 + 838218304 = 120736^2 + 28952^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15415400003) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1185799994 + ... + 1185800006.

It is an arithmetic number, because the mean of its divisors is an integer number (69641593).

Almost surely, 2^15415400000 is an apocalyptic number.

15415400000 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 15415400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26324522154).

15415400000 is an abundant number, since it is smaller than the sum of its proper divisors (37233644308).

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

15415400000 is an equidigital number, since it uses as much as digits as its factorization.

15415400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 15415400000 its reverse (451451), we get a palindrome (15415851451).

The spelling of 15415400000 in words is "fifteen billion, four hundred fifteen million, four hundred thousand".