35400344412000 has 192 divisors, whose sum is σ = 116233332493824. Its totient is φ = 9418780966400.

The previous prime is 35400344411953. The next prime is 35400344412049. The reversal of 35400344412000 is 21444300453.

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 31 ways as a sum of consecutive naturals, for example, 1986397 + ... + 8645603.

It is an arithmetic number, because the mean of its divisors is an integer number (605381940072).

Almost surely, 2^{35400344412000} is an apocalyptic number.

35400344412000 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 35400344412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58116666246912).

35400344412000 is an abundant number, since it is smaller than the sum of its proper divisors (80832988081824).

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

35400344412000 is a wasteful number, since it uses less digits than its factorization.

35400344412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6659678 (or 6659660 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 35400344412000 its reverse (21444300453), we get a palindrome (35421788712453).

The spelling of 35400344412000 in words is "thirty-five trillion, four hundred billion, three hundred forty-four million, four hundred twelve thousand".