46069623280440 has 1152 divisors, whose sum is σ = 167433671808000. Its totient is φ = 11373506307072.

The previous prime is 46069623280411. The next prime is 46069623280441. The reversal of 46069623280440 is 4408232696064.

46069623280440 is a `hidden beast` number, since 4 + 6 + 0 + 6 + 9 + 623 + 2 + 8 + 0 + 4 + 4 + 0 = 666.

It is a super-3 number, since 3×46069623280440³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46069623280441) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 42149700534 + ... + 42149701626.

It is an arithmetic number, because the mean of its divisors is an integer number (145341729000).

Almost surely, 2^{46069623280440} is an apocalyptic number.

46069623280440 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 46069623280440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83716835904000).

46069623280440 is an abundant number, since it is smaller than the sum of its proper divisors (121364048527560).

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

46069623280440 is a wasteful number, since it uses less digits than its factorization.

46069623280440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 46069623280440 in words is "forty-six trillion, sixty-nine billion, six hundred twenty-three million, two hundred eighty thousand, four hundred forty".