1053640114416 has 240 divisors, whose sum is σ = 3233543040000. Its totient is φ = 319109207040.

The previous prime is 1053640114399. The next prime is 1053640114463. The reversal of 1053640114416 is 6144110463501.

1053640114416 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 640 + 1 + 1 + 4 + 4 + 1 + 6 = 666.

It is a super-2 number, since 2×1053640114416² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6538785 + ... + 6697983.

It is an arithmetic number, because the mean of its divisors is an integer number (13473096000).

Almost surely, 2^{1053640114416} is an apocalyptic number.

1053640114416 is a gapful number since it is divisible by the number (16) 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 1053640114416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616771520000).

1053640114416 is an abundant number, since it is smaller than the sum of its proper divisors (2179902925584).

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

1053640114416 is a wasteful number, since it uses less digits than its factorization.

1053640114416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159332 (or 159323 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 1053640114416 its reverse (6144110463501), we get a palindrome (7197750577917).

The spelling of 1053640114416 in words is "one trillion, fifty-three billion, six hundred forty million, one hundred fourteen thousand, four hundred sixteen".