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40989801600 = 27335211174359
BaseRepresentation
bin100110001011001011…
…101011110010000000
310220210122112200001000
4212023023223302000
51132421342122400
630455213412000
72650523364516
oct461313536200
9126718480030
1040989801600
11164247466a0
127b3b49a000
133b3315b797
141dabc224b6
1510ed851600
hex98b2ebc80

40989801600 has 1536 divisors, whose sum is σ = 180309888000. Its totient is φ = 8980070400.

The previous prime is 40989801533. The next prime is 40989801613. The reversal of 40989801600 is 610898904.

40989801600 is a `hidden beast` number, since 409 + 8 + 9 + 80 + 160 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 694742371 + ... + 694742429.

It is an arithmetic number, because the mean of its divisors is an integer number (117389250).

Almost surely, 240989801600 is an apocalyptic number.

40989801600 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 40989801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90154944000).

40989801600 is an abundant number, since it is smaller than the sum of its proper divisors (139320086400).

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

40989801600 is a wasteful number, since it uses less digits than its factorization.

40989801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 40989801600 in words is "forty billion, nine hundred eighty-nine million, eight hundred one thousand, six hundred".