40430412122100 has 288 divisors, whose sum is σ = 157062256705536. Its totient is φ = 7754884185600.

The previous prime is 40430412122083. The next prime is 40430412122137. The reversal of 40430412122100 is 122121403404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67016404 + ... + 67617003.

Almost surely, 2^{40430412122100} is an apocalyptic number.

It is an amenable number.

40430412122100 is an abundant number, since it is smaller than the sum of its proper divisors (116631844583436).

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

40430412122100 is a wasteful number, since it uses less digits than its factorization.

40430412122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134633455 (or 134633448 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 40430412122100 its reverse (122121403404), we get a palindrome (40552533525504).

The spelling of 40430412122100 in words is "forty trillion, four hundred thirty billion, four hundred twelve million, one hundred twenty-two thousand, one hundred".