1722401102400 has 1344 divisors, whose sum is σ = 6666468556800. Its totient is φ = 384943104000.

The previous prime is 1722401102393. The next prime is 1722401102431. The reversal of 1722401102400 is 42011042271.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8163038295 + ... + 8163038505.

Almost surely, 2^{1722401102400} is an apocalyptic number.

1722401102400 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 1722401102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3333234278400).

1722401102400 is an abundant number, since it is smaller than the sum of its proper divisors (4944067454400).

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

1722401102400 is a wasteful number, since it uses less digits than its factorization.

1722401102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

Adding to 1722401102400 its reverse (42011042271), we get a palindrome (1764412144671).

The spelling of 1722401102400 in words is "one trillion, seven hundred twenty-two billion, four hundred one million, one hundred two thousand, four hundred".