40430142005200 has 360 divisors, whose sum is σ = 107557205231616. Its totient is φ = 14583514752000.

The previous prime is 40430142005189. The next prime is 40430142005213. The reversal of 40430142005200 is 250024103404.

It is a happy number.

40430142005200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 272986369 + ... + 273134431.

Almost surely, 2^{40430142005200} is an apocalyptic number.

40430142005200 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 40430142005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53778602615808).

40430142005200 is an abundant number, since it is smaller than the sum of its proper divisors (67127063226416).

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

40430142005200 is a wasteful number, since it uses less digits than its factorization.

40430142005200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148211 (or 148181 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 40430142005200 its reverse (250024103404), we get a palindrome (40680166108604).

The spelling of 40430142005200 in words is "forty trillion, four hundred thirty billion, one hundred forty-two million, five thousand, two hundred".