1417121023400 has 384 divisors, whose sum is σ = 3789117480960. Its totient is φ = 490033152000.

The previous prime is 1417121023333. The next prime is 1417121023429. The reversal of 1417121023400 is 43201217141.

It is a super-3 number, since 3×1417121023400³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1417121023400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159887369 + ... + 159896231.

It is an arithmetic number, because the mean of its divisors is an integer number (9867493440).

Almost surely, 2^{1417121023400} is an apocalyptic number.

1417121023400 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 1417121023400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894558740480).

1417121023400 is an abundant number, since it is smaller than the sum of its proper divisors (2371996457560).

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

1417121023400 is a wasteful number, since it uses less digits than its factorization.

1417121023400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9005 (or 8996 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The spelling of 1417121023400 in words is "one trillion, four hundred seventeen billion, one hundred twenty-one million, twenty-three thousand, four hundred".