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40223643600 = 2435275578597
BaseRepresentation
bin100101011101100001…
…000001011111010000
310211211020212210211210
4211131201001133100
51124334223043400
630251204140120
72622531220650
oct453541013720
9124736783753
1040223643600
111607121a868
127966997640
133a404c755a
141d38186360
1510a6461950
hex95d8417d0

40223643600 has 240 divisors, whose sum is σ = 147538378368. Its totient is φ = 9176401920.

The previous prime is 40223643599. The next prime is 40223643619. The reversal of 40223643600 is 634632204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 4674502 + ... + 4683098.

Almost surely, 240223643600 is an apocalyptic number.

40223643600 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 40223643600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73769189184).

40223643600 is an abundant number, since it is smaller than the sum of its proper divisors (107314734768).

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

40223643600 is a wasteful number, since it uses less digits than its factorization.

40223643600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9182 (or 9171 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The spelling of 40223643600 in words is "forty billion, two hundred twenty-three million, six hundred forty-three thousand, six hundred".