40101133363200 has 5184 divisors, whose sum is σ = 193221908006400. Its totient is φ = 8115506380800.

The previous prime is 40101133363199. The next prime is 40101133363301. The reversal of 40101133363200 is 236333110104.

40101133363200 is a `hidden beast` number, since 4 + 0 + 1 + 0 + 1 + 1 + 3 + 336 + 320 + 0 = 666.

It is a super-2 number, since 2×40101133363200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 354877286344 + ... + 354877286456.

It is an arithmetic number, because the mean of its divisors is an integer number (37272744600).

Almost surely, 2^{40101133363200} is an apocalyptic number.

40101133363200 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 40101133363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96610954003200).

40101133363200 is an abundant number, since it is smaller than the sum of its proper divisors (153120774643200).

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

40101133363200 is a wasteful number, since it uses less digits than its factorization.

40101133363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 40101133363200 its reverse (236333110104), we get a palindrome (40337466473304).

The spelling of 40101133363200 in words is "forty trillion, one hundred one billion, one hundred thirty-three million, three hundred sixty-three thousand, two hundred".