40634133143604 has 768 divisors, whose sum is σ = 133721002082304. Its totient is φ = 9263754086400.

The previous prime is 40634133143599. The next prime is 40634133143629.

40634133143604 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40634133143604² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 22789754097 + ... + 22789755879.

It is an arithmetic number, because the mean of its divisors is an integer number (174115888128).

Almost surely, 2^{40634133143604} is an apocalyptic number.

40634133143604 is a gapful number since it is divisible by the number (44) 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 40634133143604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66860501041152).

40634133143604 is an abundant number, since it is smaller than the sum of its proper divisors (93086868938700).

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

40634133143604 is a wasteful number, since it uses less digits than its factorization.

40634133143604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996 (or 2994 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 42.

The spelling of 40634133143604 in words is "forty trillion, six hundred thirty-four billion, one hundred thirty-three million, one hundred forty-three thousand, six hundred four".