46335984240 has 640 divisors, whose sum is σ = 184488192000. Its totient is φ = 9356820480.

The previous prime is 46335984217. The next prime is 46335984251. The reversal of 46335984240 is 4248953364.

It is a super-3 number, since 3×46335984240³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 46335984240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 94370395 + ... + 94370885.

It is an arithmetic number, because the mean of its divisors is an integer number (288262800).

Almost surely, 2^46335984240 is an apocalyptic number.

46335984240 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 46335984240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92244096000).

46335984240 is an abundant number, since it is smaller than the sum of its proper divisors (138152207760).

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

46335984240 is a wasteful number, since it uses less digits than its factorization.

46335984240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 46335984240 in words is "forty-six billion, three hundred thirty-five million, nine hundred eighty-four thousand, two hundred forty".