1418215615040 has 224 divisors, whose sum is σ = 4113075953664. Its totient is φ = 455207639040.

The previous prime is 1418215615001. The next prime is 1418215615051. The reversal of 1418215615040 is 405165128141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1418215615040² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1418215614985 and 1418215615003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2128595 + ... + 2714285.

Almost surely, 2^{1418215615040} is an apocalyptic number.

1418215615040 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 1418215615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056537976832).

1418215615040 is an abundant number, since it is smaller than the sum of its proper divisors (2694860338624).

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

1418215615040 is a wasteful number, since it uses less digits than its factorization.

1418215615040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585785 (or 585775 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 38.

The spelling of 1418215615040 in words is "one trillion, four hundred eighteen billion, two hundred fifteen million, six hundred fifteen thousand, forty".