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40574070000 = 24325417231153
BaseRepresentation
bin100101110010011001…
…110010110011110000
310212201200021022111100
4211302121302303300
51131043430220000
630350043044400
72634314622162
oct456231626360
9125650238440
1040574070000
1116231006362
127a44210700
133a97c9c859
141d6c924932
1510c70d1a00
hex972672cf0

40574070000 has 600 divisors, whose sum is σ = 156908198304. Its totient is φ = 9732096000.

The previous prime is 40574069981. The next prime is 40574070007. The reversal of 40574070000 is 7047504.

40574070000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (600).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40574070007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 35189424 + ... + 35190576.

Almost surely, 240574070000 is an apocalyptic number.

40574070000 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 40574070000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78454099152).

40574070000 is an abundant number, since it is smaller than the sum of its proper divisors (116334128304).

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

40574070000 is a wasteful number, since it uses less digits than its factorization.

40574070000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The spelling of 40574070000 in words is "forty billion, five hundred seventy-four million, seventy thousand".