1254540040 has 64 divisors (see below), whose sum is σ = 3081582000. Its totient is φ = 456855552.

The previous prime is 1254540031. The next prime is 1254540043. The reversal of 1254540040 is 400454521.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 43639236 + 1210900804 = 6606^2 + 34798^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1254539987 and 1254540014.

It is not an unprimeable number, because it can be changed into a prime (1254540043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21436 + ... + 54484.

Almost surely, 2^1254540040 is an apocalyptic number.

1254540040 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 1254540040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540791000).

1254540040 is an abundant number, since it is smaller than the sum of its proper divisors (1827041960).

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

1254540040 is a wasteful number, since it uses less digits than its factorization.

1254540040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33146 (or 33142 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 1254540040 is about 35419.4867269417. The cubic root of 1254540040 is about 1078.5199318967.

Adding to 1254540040 its reverse (400454521), we get a palindrome (1654994561).

The spelling of 1254540040 in words is "one billion, two hundred fifty-four million, five hundred forty thousand, forty".