40206648267000 has 512 divisors, whose sum is σ = 141524269286400. Its totient is φ = 10557910656000.

The previous prime is 40206648266959. The next prime is 40206648267017. The reversal of 40206648267000 is 76284660204.

40206648267000 is a `hidden beast` number, since 40 + 2 + 0 + 66 + 482 + 6 + 70 + 0 + 0 = 666.

40206648267000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 687957780 + ... + 688016220.

It is an arithmetic number, because the mean of its divisors is an integer number (276414588450).

Almost surely, 2^{40206648267000} is an apocalyptic number.

40206648267000 is a gapful number since it is divisible by the number (40) 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 40206648267000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70762134643200).

40206648267000 is an abundant number, since it is smaller than the sum of its proper divisors (101317621019400).

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

40206648267000 is a wasteful number, since it uses less digits than its factorization.

40206648267000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58861 (or 58841 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 40206648267000 in words is "forty trillion, two hundred six billion, six hundred forty-eight million, two hundred sixty-seven thousand".