40374628930350 has 768 divisors, whose sum is σ = 135047276421120. Its totient is φ = 8735247360000.

The previous prime is 40374628930297. The next prime is 40374628930379. The reversal of 40374628930350 is 5303982647304.

40374628930350 is a `hidden beast` number, since 4 + 0 + 3 + 7 + 4 + 6 + 289 + 3 + 0 + 350 = 666.

40374628930350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40374628930350² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8144970072 + ... + 8144975028.

It is an arithmetic number, because the mean of its divisors is an integer number (175842807840).

Almost surely, 2^{40374628930350} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40374628930350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67523638210560).

40374628930350 is an abundant number, since it is smaller than the sum of its proper divisors (94672647490770).

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

40374628930350 is a wasteful number, since it uses less digits than its factorization.

40374628930350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6394 (or 6383 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 40374628930350 in words is "forty trillion, three hundred seventy-four billion, six hundred twenty-eight million, nine hundred thirty thousand, three hundred fifty".