420144233040 has 400 divisors, whose sum is σ = 1699159068288. Its totient is φ = 94220485632.

The previous prime is 420144233023. The next prime is 420144233053. The reversal of 420144233040 is 40332441024.

It is a happy number.

420144233040 is a `hidden beast` number, since 4 + 201 + 4 + 423 + 30 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 420144232995 and 420144233013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2316699 + ... + 2491461.

Almost surely, 2^420144233040 is an apocalyptic number.

420144233040 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 420144233040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849579534144).

420144233040 is an abundant number, since it is smaller than the sum of its proper divisors (1279014835248).

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

420144233040 is a wasteful number, since it uses less digits than its factorization.

420144233040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174848 (or 174833 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 420144233040 its reverse (40332441024), we get a palindrome (460476674064).

The spelling of 420144233040 in words is "four hundred twenty billion, one hundred forty-four million, two hundred thirty-three thousand, forty".