1412451535040 has 448 divisors, whose sum is σ = 4330930802688. Its totient is φ = 426818764800.

The previous prime is 1412451535009. The next prime is 1412451535043. The reversal of 1412451535040 is 405351542141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (1412451535043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56101655 + ... + 56126825.

It is an arithmetic number, because the mean of its divisors is an integer number (9667256256).

Almost surely, 2^{1412451535040} is an apocalyptic number.

1412451535040 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 1412451535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165465401344).

1412451535040 is an abundant number, since it is smaller than the sum of its proper divisors (2918479267648).

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

1412451535040 is a wasteful number, since it uses less digits than its factorization.

1412451535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25296 (or 25286 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

It can be divided in two parts, 1412451 and 535040, that added together give a palindrome (1947491).

The spelling of 1412451535040 in words is "one trillion, four hundred twelve billion, four hundred fifty-one million, five hundred thirty-five thousand, forty".