42766506721400 has 96 divisors (see below), whose sum is σ = 123967328618880. Its totient is φ = 13329820272000.

The previous prime is 42766506721373. The next prime is 42766506721403. The reversal of 42766506721400 is 412760566724.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42766506721403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1388507546 + ... + 1388538345.

It is an arithmetic number, because the mean of its divisors is an integer number (1291326339780).

Almost surely, 2^{42766506721400} is an apocalyptic number.

42766506721400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42766506721400 is an abundant number, since it is smaller than the sum of its proper divisors (81200821897480).

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

42766506721400 is a wasteful number, since it uses less digits than its factorization.

42766506721400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2777045925 (or 2777045916 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 50.

The spelling of 42766506721400 in words is "forty-two trillion, seven hundred sixty-six billion, five hundred six million, seven hundred twenty-one thousand, four hundred".