1412069591040 has 768 divisors, whose sum is σ = 5088466656000. Its totient is φ = 332188876800.

The previous prime is 1412069591003. The next prime is 1412069591077. The reversal of 1412069591040 is 401959602141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1412069591003) and next prime (1412069591077).

It is a tau number, because it is divible by the number of its divisors (768).

It is a junction number, because it is equal to n+sod(n) for n = 1412069590983 and 1412069591001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1002177856 + ... + 1002179264.

It is an arithmetic number, because the mean of its divisors is an integer number (6625607625).

Almost surely, 2^{1412069591040} is an apocalyptic number.

1412069591040 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 1412069591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544233328000).

1412069591040 is an abundant number, since it is smaller than the sum of its proper divisors (3676397064960).

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

1412069591040 is a wasteful number, since it uses less digits than its factorization.

1412069591040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 1412069591040 in words is "one trillion, four hundred twelve billion, sixty-nine million, five hundred ninety-one thousand, forty".