46201775040 has 336 divisors, whose sum is σ = 164819356416. Its totient is φ = 11866521600.

The previous prime is 46201775033. The next prime is 46201775063. The reversal of 46201775040 is 4057710264.

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 = 46201774986 and 46201775004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20801130 + ... + 20803350.

Almost surely, 2^46201775040 is an apocalyptic number.

46201775040 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 46201775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82409678208).

46201775040 is an abundant number, since it is smaller than the sum of its proper divisors (118617581376).

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

46201775040 is a wasteful number, since it uses less digits than its factorization.

46201775040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 46201775040 in words is "forty-six billion, two hundred one million, seven hundred seventy-five thousand, forty".