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40473216000 = 210335372239
BaseRepresentation
bin100101101100011001…
…000100010000000000
310212110122111101211000
4211230121010100000
51130342120403000
630332041252000
72631651442200
oct455431042000
9125418441730
1040473216000
111618a091248
127a16494000
133a8011a429
141d5d390400
1510bd30e000
hex96c644400

40473216000 has 1056 divisors, whose sum is σ = 174738470400. Its totient is φ = 9212313600.

The previous prime is 40473215971. The next prime is 40473216001. The reversal of 40473216000 is 61237404.

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

It is not an unprimeable number, because it can be changed into a prime (40473216001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169343881 + ... + 169344119.

Almost surely, 240473216000 is an apocalyptic number.

40473216000 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 40473216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87369235200).

40473216000 is an abundant number, since it is smaller than the sum of its proper divisors (134265254400).

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

40473216000 is a wasteful number, since it uses less digits than its factorization.

40473216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 40473216000 in words is "forty billion, four hundred seventy-three million, two hundred sixteen thousand".