214740405400 has 192 divisors, whose sum is σ = 535271990400. Its totient is φ = 79882536960.

The previous prime is 214740405391. The next prime is 214740405409. The reversal of 214740405400 is 4504047412.

It is an interprime number because it is at equal distance from previous prime (214740405391) and next prime (214740405409).

It is a super-2 number, since 2×214740405400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214740405409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51408112 + ... + 51412288.

It is an arithmetic number, because the mean of its divisors is an integer number (2787874950).

Almost surely, 2^214740405400 is an apocalyptic number.

214740405400 is a gapful number since it is divisible by the number (20) 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 214740405400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267635995200).

214740405400 is an abundant number, since it is smaller than the sum of its proper divisors (320531585000).

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

214740405400 is a wasteful number, since it uses less digits than its factorization.

214740405400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4458 (or 4449 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 31.

The spelling of 214740405400 in words is "two hundred fourteen billion, seven hundred forty million, four hundred five thousand, four hundred".