40535433243200 has 336 divisors, whose sum is σ = 121891882955904. Its totient is φ = 12950827008000.

The previous prime is 40535433243199. The next prime is 40535433243293. The reversal of 40535433243200 is 234233453504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18176459 + ... + 20284341.

Almost surely, 2^{40535433243200} is an apocalyptic number.

40535433243200 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 40535433243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60945941477952).

40535433243200 is an abundant number, since it is smaller than the sum of its proper divisors (81356449712704).

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

40535433243200 is a wasteful number, since it uses less digits than its factorization.

40535433243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108030 (or 2108015 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 38.

Adding to 40535433243200 its reverse (234233453504), we get a palindrome (40769666696704).

The spelling of 40535433243200 in words is "forty trillion, five hundred thirty-five billion, four hundred thirty-three million, two hundred forty-three thousand, two hundred".