414742236480 has 336 divisors, whose sum is σ = 1675937337984. Its totient is φ = 92809359360.

The previous prime is 414742236479. The next prime is 414742236509. The reversal of 414742236480 is 84632247414.

414742236480 is a `hidden beast` number, since 4 + 147 + 4 + 2 + 23 + 6 + 480 = 666.

It is a super-2 number, since 2×414742236480² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91684 + ... + 915363.

It is an arithmetic number, because the mean of its divisors is an integer number (4987908744).

Almost surely, 2^414742236480 is an apocalyptic number.

414742236480 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 414742236480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837968668992).

414742236480 is an abundant number, since it is smaller than the sum of its proper divisors (1261195101504).

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

414742236480 is a wasteful number, since it uses less digits than its factorization.

414742236480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007094 (or 1007081 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 414742236480 in words is "four hundred fourteen billion, seven hundred forty-two million, two hundred thirty-six thousand, four hundred eighty".