141428403496800 has 2160 divisors, whose sum is σ = 617835098022912. Its totient is φ = 30838259865600.

The previous prime is 141428403496771. The next prime is 141428403496843. The reversal of 141428403496800 is 8694304824141.

141428403496800 is a `hidden beast` number, since 1 + 4 + 14 + 28 + 40 + 3 + 496 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×141428403496800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 145652320315 + ... + 145652321285.

Almost surely, 2^{141428403496800} is an apocalyptic number.

141428403496800 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 141428403496800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308917549011456).

141428403496800 is an abundant number, since it is smaller than the sum of its proper divisors (476406694526112).

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

141428403496800 is a wasteful number, since it uses less digits than its factorization.

141428403496800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 141428403496800 in words is "one hundred forty-one trillion, four hundred twenty-eight billion, four hundred three million, four hundred ninety-six thousand, eight hundred".