1354442342400 has 1188 divisors, whose sum is σ = 5758260400872. Its totient is φ = 309586821120.

The previous prime is 1354442342399. The next prime is 1354442342417. The reversal of 1354442342400 is 42432444531.

It is a Jordan-Polya number, since it can be written as 10! ⋅ 4! ⋅ (3!)⁵ ⋅ 2!.

1354442342400 is a `hidden beast` number, since 1 + 3 + 544 + 42 + 34 + 2 + 40 + 0 = 666.

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 65 ways as a sum of consecutive naturals, for example, 193491763197 + ... + 193491763203.

Almost surely, 2^{1354442342400} is an apocalyptic number.

1354442342400 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 1354442342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879130200436).

1354442342400 is an abundant number, since it is smaller than the sum of its proper divisors (4403818058472).

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

1354442342400 is an frugal number, since it uses more digits than its factorization.

1354442342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 1354442342400 its reverse (42432444531), we get a palindrome (1396874786931).

The spelling of 1354442342400 in words is "one trillion, three hundred fifty-four billion, four hundred forty-two million, three hundred forty-two thousand, four hundred".