1415415133440 has 1152 divisors, whose sum is σ = 6290972835840. Its totient is φ = 292759142400.

The previous prime is 1415415133423. The next prime is 1415415133459. The reversal of 1415415133440 is 443315145141.

1415415133440 is a `hidden beast` number, since 1 + 41 + 5 + 41 + 5 + 133 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 1415415133395 and 1415415133404.

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, 641328817 + ... + 641331023.

It is an arithmetic number, because the mean of its divisors is an integer number (5460913920).

Almost surely, 2^{1415415133440} is an apocalyptic number.

1415415133440 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 1415415133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145486417920).

1415415133440 is an abundant number, since it is smaller than the sum of its proper divisors (4875557702400).

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

1415415133440 is a wasteful number, since it uses less digits than its factorization.

1415415133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 1415415133440 in words is "one trillion, four hundred fifteen billion, four hundred fifteen million, one hundred thirty-three thousand, four hundred forty".