46149042240 has 672 divisors, whose sum is σ = 192198589440. Its totient is φ = 9928396800.

The previous prime is 46149042209. The next prime is 46149042241. The reversal of 46149042240 is 4224094164.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 46149042195 and 46149042204.

It is not an unprimeable number, because it can be changed into a prime (46149042241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80821155 + ... + 80821725.

Almost surely, 2^46149042240 is an apocalyptic number.

46149042240 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 46149042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96099294720).

46149042240 is an abundant number, since it is smaller than the sum of its proper divisors (146049547200).

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

46149042240 is a wasteful number, since it uses less digits than its factorization.

46149042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 46149042240 in words is "forty-six billion, one hundred forty-nine million, forty-two thousand, two hundred forty".