34131021211440 has 400 divisors, whose sum is σ = 122386078146816. Its totient is φ = 8806562611200.

The previous prime is 34131021211433. The next prime is 34131021211453. The reversal of 34131021211440 is 4411212013143.

It is a happy number.

34131021211440 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 1 + 0 + 2 + 1 + 211 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1816146684 + ... + 1816165476.

Almost surely, 2^{34131021211440} is an apocalyptic number.

34131021211440 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 34131021211440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61193039073408).

34131021211440 is an abundant number, since it is smaller than the sum of its proper divisors (88255056935376).

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

34131021211440 is a wasteful number, since it uses less digits than its factorization.

34131021211440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27890 (or 27875 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 34131021211440 its reverse (4411212013143), we get a palindrome (38542233224583).

The spelling of 34131021211440 in words is "thirty-four trillion, one hundred thirty-one billion, twenty-one million, two hundred eleven thousand, four hundred forty".