46212042240 has 1600 divisors, whose sum is σ = 212946370560. Its totient is φ = 9316270080.

The previous prime is 46212042223. The next prime is 46212042281. The reversal of 46212042240 is 4224021264.

46212042240 is a `hidden beast` number, since 462 + 120 + 42 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 584962521 + ... + 584962599.

Almost surely, 2^46212042240 is an apocalyptic number.

46212042240 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 46212042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106473185280).

46212042240 is an abundant number, since it is smaller than the sum of its proper divisors (166734328320).

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

46212042240 is a wasteful number, since it uses less digits than its factorization.

46212042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 46212042240 in words is "forty-six billion, two hundred twelve million, forty-two thousand, two hundred forty".