1620442454400 has 2400 divisors, whose sum is σ = 7640638460400. Its totient is φ = 331195392000.

The previous prime is 1620442454303. The next prime is 1620442454429. The reversal of 1620442454400 is 44542440261.

1620442454400 is a `hidden beast` number, since 1 + 6 + 2 + 0 + 4 + 4 + 245 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-3 number, since 3×1620442454400³ (a number of 38 digits) contains 333 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 26564630370 + ... + 26564630430.

Almost surely, 2^{1620442454400} is an apocalyptic number.

1620442454400 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 1620442454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820319230200).

1620442454400 is an abundant number, since it is smaller than the sum of its proper divisors (6020196006000).

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

1620442454400 is an frugal number, since it uses more digits than its factorization.

1620442454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 1620442454400 its reverse (44542440261), we get a palindrome (1664984894661).

The spelling of 1620442454400 in words is "one trillion, six hundred twenty billion, four hundred forty-two million, four hundred fifty-four thousand, four hundred".