42542780400 has 360 divisors, whose sum is σ = 149604174720. Its totient is φ = 11194767360.

The previous prime is 42542780389. The next prime is 42542780437. The reversal of 42542780400 is 408724524.

42542780400 is a `hidden beast` number, since 4 + 2 + 542 + 78 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 158151466 + ... + 158151734.

It is an arithmetic number, because the mean of its divisors is an integer number (415567152).

Almost surely, 2^42542780400 is an apocalyptic number.

42542780400 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 42542780400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74802087360).

42542780400 is an abundant number, since it is smaller than the sum of its proper divisors (107061394320).

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

42542780400 is a wasteful number, since it uses less digits than its factorization.

42542780400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 42542780400 in words is "forty-two billion, five hundred forty-two million, seven hundred eighty thousand, four hundred".