46142203443840 has 1536 divisors, whose sum is σ = 200309421312000. Its totient is φ = 9914840432640.

The previous prime is 46142203443829. The next prime is 46142203443857. The reversal of 46142203443840 is 4834430224164.

46142203443840 is a `hidden beast` number, since 4 + 6 + 1 + 4 + 2 + 203 + 4 + 438 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2709616446 + ... + 2709633474.

It is an arithmetic number, because the mean of its divisors is an integer number (130409779500).

Almost surely, 2^{46142203443840} is an apocalyptic number.

46142203443840 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 46142203443840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100154710656000).

46142203443840 is an abundant number, since it is smaller than the sum of its proper divisors (154167217868160).

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

46142203443840 is a wasteful number, since it uses less digits than its factorization.

46142203443840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17220 (or 17196 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 45.

The spelling of 46142203443840 in words is "forty-six trillion, one hundred forty-two billion, two hundred three million, four hundred forty-three thousand, eight hundred forty".