40202067742830 has 384 divisors, whose sum is σ = 127094002753536. Its totient is φ = 8622476697600.

The previous prime is 40202067742729. The next prime is 40202067742901. The reversal of 40202067742830 is 3824776020204.

40202067742830 is a `hidden beast` number, since 40 + 202 + 0 + 67 + 74 + 283 + 0 = 666.

It is a super-2 number, since 2×40202067742830² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 130364982 + ... + 130672998.

It is an arithmetic number, because the mean of its divisors is an integer number (330973965504).

Almost surely, 2^{40202067742830} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40202067742830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63547001376768).

40202067742830 is an abundant number, since it is smaller than the sum of its proper divisors (86891935010706).

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

40202067742830 is a wasteful number, since it uses less digits than its factorization.

40202067742830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308272 (or 308269 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 40202067742830 in words is "forty trillion, two hundred two billion, sixty-seven million, seven hundred forty-two thousand, eight hundred thirty".