40152412441332 has 180 divisors, whose sum is σ = 112756910929740. Its totient is φ = 12455295215616.

The previous prime is 40152412441201. The next prime is 40152412441381. The reversal of 40152412441332 is 23314421425104.

40152412441332 is a `hidden beast` number, since 4 + 0 + 1 + 524 + 124 + 4 + 1 + 3 + 3 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 733427811216 + 39418984630116 = 856404^2 + 6278454^2 .

It is a super-2 number, since 2×40152412441332² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5924538 + ... + 10742670.

It is an arithmetic number, because the mean of its divisors is an integer number (626427282943).

Almost surely, 2^{40152412441332} 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 40152412441332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56378455464870).

40152412441332 is an abundant number, since it is smaller than the sum of its proper divisors (72604498488408).

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

40152412441332 is a wasteful number, since it uses less digits than its factorization.

40152412441332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4818272 (or 4818244 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 40152412441332 its reverse (23314421425104), we get a palindrome (63466833866436).

The spelling of 40152412441332 in words is "forty trillion, one hundred fifty-two billion, four hundred twelve million, four hundred forty-one thousand, three hundred thirty-two".