40325294800 has 180 divisors, whose sum is σ = 113970121740. Its totient is φ = 13669877760.

The previous prime is 40325294761. The next prime is 40325294809. The reversal of 40325294800 is 849252304.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 16202234944 + 24123059856 = 127288^2 + 155316^2 .

It is a super-2 number, since 2×40325294800² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40325294800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40325294809) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1732842 + ... + 1755958.

It is an arithmetic number, because the mean of its divisors is an integer number (633167343).

Almost surely, 2^40325294800 is an apocalyptic number.

40325294800 is a gapful number since it is divisible by the number (40) 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 40325294800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56985060870).

40325294800 is an abundant number, since it is smaller than the sum of its proper divisors (73644826940).

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

40325294800 is a wasteful number, since it uses less digits than its factorization.

40325294800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23238 (or 23220 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 40325294800 in words is "forty billion, three hundred twenty-five million, two hundred ninety-four thousand, eight hundred".