40135827850200 has 1536 divisors, whose sum is σ = 150476083200000. Its totient is φ = 9809256038400.

The previous prime is 40135827850177. The next prime is 40135827850211. The reversal of 40135827850200 is 205872853104.

40135827850200 is a `hidden beast` number, since 4 + 0 + 1 + 358 + 278 + 5 + 0 + 20 + 0 = 666.

It is a super-2 number, since 2×40135827850200² (a number of 28 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 87824568372 + ... + 87824568828.

It is an arithmetic number, because the mean of its divisors is an integer number (97966200000).

Almost surely, 2^{40135827850200} is an apocalyptic number.

40135827850200 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 40135827850200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75238041600000).

40135827850200 is an abundant number, since it is smaller than the sum of its proper divisors (110340255349800).

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

40135827850200 is a wasteful number, since it uses less digits than its factorization.

40135827850200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 40135827850200 in words is "forty trillion, one hundred thirty-five billion, eight hundred twenty-seven million, eight hundred fifty thousand, two hundred".