1254303431040 has 256 divisors, whose sum is σ = 4363753098240. Its totient is φ = 303920332800.

The previous prime is 1254303430999. The next prime is 1254303431053. The reversal of 1254303431040 is 401343034521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1254303430989 and 1254303431007.

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, 45119545 + ... + 45147335.

It is an arithmetic number, because the mean of its divisors is an integer number (17045910540).

Almost surely, 2^{1254303431040} is an apocalyptic number.

1254303431040 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 1254303431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181876549120).

1254303431040 is an abundant number, since it is smaller than the sum of its proper divisors (3109449667200).

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

1254303431040 is a wasteful number, since it uses less digits than its factorization.

1254303431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29961 (or 29949 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 1254303431040 its reverse (401343034521), we get a palindrome (1655646465561).

The spelling of 1254303431040 in words is "one trillion, two hundred fifty-four billion, three hundred three million, four hundred thirty-one thousand, forty".