46820701440 has 216 divisors, whose sum is σ = 162304964640. Its totient is φ = 12461617152.

The previous prime is 46820701399. The next prime is 46820701511. The reversal of 46820701440 is 4410702864.

46820701440 is a `hidden beast` number, since 4 + 6 + 8 + 207 + 0 + 1 + 440 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 46820701395 and 46820701404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6482151 + ... + 6489369.

Almost surely, 2^46820701440 is an apocalyptic number.

46820701440 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 46820701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81152482320).

46820701440 is an abundant number, since it is smaller than the sum of its proper divisors (115484263200).

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

46820701440 is a wasteful number, since it uses less digits than its factorization.

46820701440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7809 (or 7792 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 46820701440 in words is "forty-six billion, eight hundred twenty million, seven hundred one thousand, four hundred forty".