1455450414400 has 168 divisors, whose sum is σ = 3738413940480. Its totient is φ = 556661360640.

The previous prime is 1455450414337. The next prime is 1455450414433. The reversal of 1455450414400 is 44140545541.

It is a super-5 number, since 5×1455450414400⁵ (a number of 62 digits) contains 55555 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1455450414400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130892041 + ... + 130903159.

Almost surely, 2^{1455450414400} is an apocalyptic number.

1455450414400 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 1455450414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869206970240).

1455450414400 is an abundant number, since it is smaller than the sum of its proper divisors (2282963526080).

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

1455450414400 is a wasteful number, since it uses less digits than its factorization.

1455450414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14721 (or 14706 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 37.

Adding to 1455450414400 its reverse (44140545541), we get a palindrome (1499590959941).

The spelling of 1455450414400 in words is "one trillion, four hundred fifty-five billion, four hundred fifty million, four hundred fourteen thousand, four hundred".