334414005101400 has 768 divisors, whose sum is σ = 1255633098624000. Its totient is φ = 71921605017600.

The previous prime is 334414005101291. The next prime is 334414005101471. The reversal of 334414005101400 is 4101500414433.

It is a super-2 number, since 2×334414005101400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 38700841080 + ... + 38700849720.

It is an arithmetic number, because the mean of its divisors is an integer number (1634938930500).

Almost surely, 2^{334414005101400} is an apocalyptic number.

334414005101400 is a gapful number since it is divisible by the number (30) 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 334414005101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627816549312000).

334414005101400 is an abundant number, since it is smaller than the sum of its proper divisors (921219093522600).

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

334414005101400 is a wasteful number, since it uses less digits than its factorization.

334414005101400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11932 (or 11923 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 334414005101400 its reverse (4101500414433), we get a palindrome (338515505515833).

The spelling of 334414005101400 in words is "three hundred thirty-four trillion, four hundred fourteen billion, five million, one hundred one thousand, four hundred".