40234379328 has 672 divisors, whose sum is σ = 145917757440. Its totient is φ = 10416107520.

The previous prime is 40234379327. The next prime is 40234379333. The reversal of 40234379328 is 82397343204.

40234379328 is a `hidden beast` number, since 40 + 234 + 379 + 3 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (40234379327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73554351 + ... + 73554897.

It is an arithmetic number, because the mean of its divisors is an integer number (217139520).

Almost surely, 2^40234379328 is an apocalyptic number.

40234379328 is a gapful number since it is divisible by the number (48) 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 40234379328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72958878720).

40234379328 is an abundant number, since it is smaller than the sum of its proper divisors (105683378112).

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

40234379328 is a wasteful number, since it uses less digits than its factorization.

40234379328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

It can be divided in two parts, 402343 and 79328, that added together give a triangular number (481671 = T₉₈₁).

The spelling of 40234379328 in words is "forty billion, two hundred thirty-four million, three hundred seventy-nine thousand, three hundred twenty-eight".