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40799918400 = 2635217311272
BaseRepresentation
bin100101111111110111…
…010101100101000000
310220022102020121020220
4211333313111211000
51132024234342100
630424311503040
72643026404263
oct457767254500
9126272217226
1040799918400
111633754362a
127aa7987a80
133b02a07267
141d90914cda
1510dbd44aa0
hex97fdd5940

40799918400 has 504 divisors, whose sum is σ = 147464775936. Its totient is φ = 9831628800.

The previous prime is 40799918387. The next prime is 40799918407. The reversal of 40799918400 is 481999704.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40799918407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 321259137 + ... + 321259263.

Almost surely, 240799918400 is an apocalyptic number.

40799918400 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 40799918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73732387968).

40799918400 is an abundant number, since it is smaller than the sum of its proper divisors (106664857536).

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

40799918400 is a wasteful number, since it uses less digits than its factorization.

40799918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 40799918400 in words is "forty billion, seven hundred ninety-nine million, nine hundred eighteen thousand, four hundred".