40838732146800 has 540 divisors, whose sum is σ = 165221058764736. Its totient is φ = 9314123212800.

The previous prime is 40838732146777. The next prime is 40838732146841. The reversal of 40838732146800 is 864123783804.

40838732146800 is a `hidden beast` number, since 4 + 0 + 83 + 87 + 3 + 21 + 468 + 0 + 0 = 666.

It is a super-3 number, since 3×40838732146800³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 80361505 + ... + 80868095.

Almost surely, 2^{40838732146800} is an apocalyptic number.

40838732146800 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 40838732146800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82610529382368).

40838732146800 is an abundant number, since it is smaller than the sum of its proper divisors (124382326617936).

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

40838732146800 is a wasteful number, since it uses less digits than its factorization.

40838732146800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507086 (or 507065 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 40838732146800 in words is "forty trillion, eight hundred thirty-eight billion, seven hundred thirty-two million, one hundred forty-six thousand, eight hundred".