40334323271424 has 576 divisors, whose sum is σ = 136453453774848. Its totient is φ = 10289136844800.

The previous prime is 40334323271419. The next prime is 40334323271453. The reversal of 40334323271424 is 42417232343304.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5769460569 + ... + 5769467559.

It is an arithmetic number, because the mean of its divisors is an integer number (236898357248).

Almost surely, 2^{40334323271424} 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 40334323271424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68226726887424).

40334323271424 is an abundant number, since it is smaller than the sum of its proper divisors (96119130503424).

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

40334323271424 is a wasteful number, since it uses less digits than its factorization.

40334323271424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9724 (or 9710 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 42.

The spelling of 40334323271424 in words is "forty trillion, three hundred thirty-four billion, three hundred twenty-three million, two hundred seventy-one thousand, four hundred twenty-four".