46435941247440 has 1280 divisors, whose sum is σ = 168546355200000. Its totient is φ = 10506459414528.

The previous prime is 46435941247373. The next prime is 46435941247471. The reversal of 46435941247440 is 4474214953464.

It is a happy number.

46435941247440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 50528771301 + ... + 50528772219.

It is an arithmetic number, because the mean of its divisors is an integer number (131676840000).

Almost surely, 2^{46435941247440} is an apocalyptic number.

46435941247440 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 46435941247440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84273177600000).

46435941247440 is an abundant number, since it is smaller than the sum of its proper divisors (122110413952560).

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

46435941247440 is a wasteful number, since it uses less digits than its factorization.

46435941247440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 57.

The spelling of 46435941247440 in words is "forty-six trillion, four hundred thirty-five billion, nine hundred forty-one million, two hundred forty-seven thousand, four hundred forty".