42400771712640 has 3584 divisors, whose sum is σ = 184895660206080. Its totient is φ = 9172942848000.

The previous prime is 42400771712597. The next prime is 42400771712641. The reversal of 42400771712640 is 4621717700424.

42400771712640 is a `hidden beast` number, since 4 + 2 + 400 + 77 + 17 + 126 + 40 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (42400771712641) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 164983547392 + ... + 164983547648.

Almost surely, 2^{42400771712640} is an apocalyptic number.

42400771712640 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 42400771712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92447830103040).

42400771712640 is an abundant number, since it is smaller than the sum of its proper divisors (142494888493440).

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

42400771712640 is a wasteful number, since it uses less digits than its factorization.

42400771712640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 42400771712640 in words is "forty-two trillion, four hundred billion, seven hundred seventy-one million, seven hundred twelve thousand, six hundred forty".