1410048000 has 560 divisors, whose sum is σ = 5566419144. Its totient is φ = 353894400.

The previous prime is 1410047981. The next prime is 1410048019. The reversal of 1410048000 is 8400141.

It is an interprime number because it is at equal distance from previous prime (1410047981) and next prime (1410048019).

It can be written as a sum of positive squares in 4 ways, for example, as 613453824 + 796594176 = 24768^2 + 28224^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82943992 + ... + 82944008.

Almost surely, 2^1410048000 is an apocalyptic number.

1410048000 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 1410048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783209572).

1410048000 is an abundant number, since it is smaller than the sum of its proper divisors (4156371144).

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

1410048000 is an frugal number, since it uses more digits than its factorization.

1410048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1410048000 is about 37550.6058539673. The cubic root of 1410048000 is about 1121.3588948053.

Adding to 1410048000 its reverse (8400141), we get a palindrome (1418448141).

The spelling of 1410048000 in words is "one billion, four hundred ten million, forty-eight thousand".