1504340431000 has 128 divisors (see below), whose sum is σ = 3841565045760. Its totient is φ = 546834288000.

The previous prime is 1504340430961. The next prime is 1504340431057. The reversal of 1504340431000 is 1340434051.

It is a super-2 number, since 2×1504340431000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32173639 + ... + 32220361.

It is an arithmetic number, because the mean of its divisors is an integer number (30012226920).

Almost surely, 2^{1504340431000} is an apocalyptic number.

1504340431000 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 1504340431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920782522880).

1504340431000 is an abundant number, since it is smaller than the sum of its proper divisors (2337224614760).

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

1504340431000 is a wasteful number, since it uses less digits than its factorization.

1504340431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49682 (or 49668 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 1504340431000 its reverse (1340434051), we get a palindrome (1505680865051).

The spelling of 1504340431000 in words is "one trillion, five hundred four billion, three hundred forty million, four hundred thirty-one thousand".