1410042072000 has 224 divisors, whose sum is σ = 4657804369920. Its totient is φ = 375862195200.

The previous prime is 1410042071959. The next prime is 1410042072011. The reversal of 1410042072000 is 2702400141.

It is a happy number.

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, 69085797 + ... + 69106203.

Almost surely, 2^{1410042072000} is an apocalyptic number.

1410042072000 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 1410042072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328902184960).

1410042072000 is an abundant number, since it is smaller than the sum of its proper divisors (3247762297920).

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

1410042072000 is a wasteful number, since it uses less digits than its factorization.

1410042072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23316 (or 23296 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

Adding to 1410042072000 its reverse (2702400141), we get a palindrome (1412744472141).

The spelling of 1410042072000 in words is "one trillion, four hundred ten billion, forty-two million, seventy-two thousand".