46140472400 has 120 divisors (see below), whose sum is σ = 121743324000. Its totient is φ = 16665510400.

The previous prime is 46140472393. The next prime is 46140472421. The reversal of 46140472400 is 427404164.

It is a super-3 number, since 3×46140472400³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 620411 + ... + 690789.

It is an arithmetic number, because the mean of its divisors is an integer number (1014527700).

Almost surely, 2^46140472400 is an apocalyptic number.

46140472400 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 46140472400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60871662000).

46140472400 is an abundant number, since it is smaller than the sum of its proper divisors (75602851600).

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

46140472400 is a wasteful number, since it uses less digits than its factorization.

46140472400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70557 (or 70546 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

Adding to 46140472400 its reverse (427404164), we get a palindrome (46567876564).

The spelling of 46140472400 in words is "forty-six billion, one hundred forty million, four hundred seventy-two thousand, four hundred".