1428781145904 has 360 divisors, whose sum is σ = 4967072622720. Its totient is φ = 381430425600.

The previous prime is 1428781145893. The next prime is 1428781145917. The reversal of 1428781145904 is 4095411878241.

It is a happy number.

1428781145904 is a `hidden beast` number, since 1 + 42 + 8 + 7 + 8 + 1 + 1 + 4 + 590 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6230724 + ... + 6455964.

It is an arithmetic number, because the mean of its divisors is an integer number (13797423952).

Almost surely, 2^{1428781145904} is an apocalyptic number.

1428781145904 is a gapful number since it is divisible by the number (14) 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 1428781145904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483536311360).

1428781145904 is an abundant number, since it is smaller than the sum of its proper divisors (3538291476816).

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

1428781145904 is a wasteful number, since it uses less digits than its factorization.

1428781145904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225329 (or 225313 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 1428781145904 in words is "one trillion, four hundred twenty-eight billion, seven hundred eighty-one million, one hundred forty-five thousand, nine hundred four".