1416735465120 has 288 divisors, whose sum is σ = 5090628816000. Its totient is φ = 357802002432.

The previous prime is 1416735465109. The next prime is 1416735465121. The reversal of 1416735465120 is 215645376141.

It is a happy number.

1416735465120 is a `hidden beast` number, since 1 + 4 + 1 + 67 + 3 + 5 + 465 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1416735465120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1416735465121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124454949 + ... + 124466331.

It is an arithmetic number, because the mean of its divisors is an integer number (17675794500).

Almost surely, 2^{1416735465120} is an apocalyptic number.

1416735465120 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 1416735465120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545314408000).

1416735465120 is an abundant number, since it is smaller than the sum of its proper divisors (3673893350880).

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

1416735465120 is a wasteful number, since it uses less digits than its factorization.

1416735465120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15972 (or 15961 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 1416735465120 in words is "one trillion, four hundred sixteen billion, seven hundred thirty-five million, four hundred sixty-five thousand, one hundred twenty".