40102405200 has 360 divisors, whose sum is σ = 163498389600. Its totient is φ = 8973849600.

The previous prime is 40102405199. The next prime is 40102405207. The reversal of 40102405200 is 250420104.

40102405200 is a `hidden beast` number, since 4 + 0 + 102 + 40 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40102405207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 475851 + ... + 553749.

Almost surely, 2^40102405200 is an apocalyptic number.

40102405200 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 40102405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81749194800).

40102405200 is an abundant number, since it is smaller than the sum of its proper divisors (123395984400).

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

40102405200 is a wasteful number, since it uses less digits than its factorization.

40102405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77947 (or 77933 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 40102405200 its reverse (250420104), we get a palindrome (40352825304).

The spelling of 40102405200 in words is "forty billion, one hundred two million, four hundred five thousand, two hundred".