40003673767668 has 144 divisors (see below), whose sum is σ = 109712587944960. Its totient is φ = 12217141260288.

The previous prime is 40003673767643. The next prime is 40003673767669. The reversal of 40003673767668 is 86676737630004.

40003673767668 is a `hidden beast` number, since 400 + 0 + 36 + 7 + 3 + 76 + 76 + 68 = 666.

It is a super-3 number, since 3×40003673767668³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40003673767669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39147805 + ... + 40156667.

It is an arithmetic number, because the mean of its divisors is an integer number (761892971840).

Almost surely, 2^{40003673767668} 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 40003673767668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54856293972480).

40003673767668 is an abundant number, since it is smaller than the sum of its proper divisors (69708914177292).

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

40003673767668 is a wasteful number, since it uses less digits than its factorization.

40003673767668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009518 (or 1009513 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 63.

The spelling of 40003673767668 in words is "forty trillion, three billion, six hundred seventy-three million, seven hundred sixty-seven thousand, six hundred sixty-eight".