35414542123400 has 192 divisors, whose sum is σ = 95228858623680. Its totient is φ = 12105074073600.

The previous prime is 35414542123397. The next prime is 35414542123409. The reversal of 35414542123400 is 432124541453.

It is not an unprimeable number, because it can be changed into a prime (35414542123409) 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, 28832204 + ... + 30035396.

It is an arithmetic number, because the mean of its divisors is an integer number (495983638665).

Almost surely, 2^{35414542123400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35414542123400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47614429311840).

35414542123400 is an abundant number, since it is smaller than the sum of its proper divisors (59814316500280).

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

35414542123400 is a wasteful number, since it uses less digits than its factorization.

35414542123400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204024 (or 1204015 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

Adding to 35414542123400 its reverse (432124541453), we get a palindrome (35846666664853).

The spelling of 35414542123400 in words is "thirty-five trillion, four hundred fourteen billion, five hundred forty-two million, one hundred twenty-three thousand, four hundred".