40277146635936 has 576 divisors, whose sum is σ = 140199423436800. Its totient is φ = 10711663699968.

The previous prime is 40277146635889. The next prime is 40277146635953. The reversal of 40277146635936 is 63953664177204.

It is a happy number.

40277146635936 is a `hidden beast` number, since 4 + 0 + 27 + 7 + 14 + 6 + 6 + 3 + 593 + 6 = 666.

It is a super-2 number, since 2×40277146635936² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5982047226 + ... + 5982053958.

It is an arithmetic number, because the mean of its divisors is an integer number (243401776800).

Almost surely, 2^{40277146635936} 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 40277146635936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70099711718400).

40277146635936 is an abundant number, since it is smaller than the sum of its proper divisors (99922276800864).

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

40277146635936 is a wasteful number, since it uses less digits than its factorization.

40277146635936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9481 (or 9470 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 40277146635936 in words is "forty trillion, two hundred seventy-seven billion, one hundred forty-six million, six hundred thirty-five thousand, nine hundred thirty-six".