1412087040 has 576 divisors, whose sum is σ = 6181056000. Its totient is φ = 297271296.

The previous prime is 1412087023. The next prime is 1412087041. The reversal of 1412087040 is 407802141.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1412086995 and 1412087013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1412087041) 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, 3144736 + ... + 3145184.

It is an arithmetic number, because the mean of its divisors is an integer number (10731000).

Almost surely, 2^1412087040 is an apocalyptic number.

1412087040 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 1412087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090528000).

1412087040 is an abundant number, since it is smaller than the sum of its proper divisors (4768968960).

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

1412087040 is a wasteful number, since it uses less digits than its factorization.

1412087040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1412087040 is about 37577.7466062030. The cubic root of 1412087040 is about 1121.8991587714.

Adding to 1412087040 its reverse (407802141), we get a palindrome (1819889181).

The spelling of 1412087040 in words is "one billion, four hundred twelve million, eighty-seven thousand, forty".