42680400028240 has 80 divisors (see below), whose sum is σ = 106866539353728. Its totient is φ = 15758712857088.

The previous prime is 42680400028193. The next prime is 42680400028249. The reversal of 42680400028240 is 4282000408624.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 42680400028193 and 42680400028202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42680400028249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97294677 + ... + 97732363.

Almost surely, 2^{42680400028240} is an apocalyptic number.

42680400028240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42680400028240 is an abundant number, since it is smaller than the sum of its proper divisors (64186139325488).

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

42680400028240 is a wasteful number, since it uses less digits than its factorization.

42680400028240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531476 (or 531470 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 40.

The spelling of 42680400028240 in words is "forty-two trillion, six hundred eighty billion, four hundred million, twenty-eight thousand, two hundred forty".