1413407327040 has 896 divisors, whose sum is σ = 5444756029440. Its totient is φ = 344151244800.

The previous prime is 1413407326963. The next prime is 1413407327089. The reversal of 1413407327040 is 407237043141.

1413407327040 is a `hidden beast` number, since 1 + 4 + 1 + 340 + 7 + 3 + 270 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1413407326986 and 1413407327004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 382931595 + ... + 382935285.

It is an arithmetic number, because the mean of its divisors is an integer number (6076736640).

Almost surely, 2^{1413407327040} is an apocalyptic number.

1413407327040 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 1413407327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722378014720).

1413407327040 is an abundant number, since it is smaller than the sum of its proper divisors (4031348702400).

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

1413407327040 is a wasteful number, since it uses less digits than its factorization.

1413407327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3828 (or 3812 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 1413407327040 in words is "one trillion, four hundred thirteen billion, four hundred seven million, three hundred twenty-seven thousand, forty".