40201213728 has 96 divisors (see below), whose sum is σ = 116417734272. Its totient is φ = 12067891200.

The previous prime is 40201213699. The next prime is 40201213729. The reversal of 40201213728 is 82731210204.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×40201213728² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40201213695 and 40201213704.

It is not an unprimeable number, because it can be changed into a prime (40201213729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341668 + ... + 444003.

It is an arithmetic number, because the mean of its divisors is an integer number (1212684732).

Almost surely, 2^40201213728 is an apocalyptic number.

40201213728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40201213728 is an abundant number, since it is smaller than the sum of its proper divisors (76216520544).

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

40201213728 is a wasteful number, since it uses less digits than its factorization.

40201213728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785738 (or 785730 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 40201213728 in words is "forty billion, two hundred one million, two hundred thirteen thousand, seven hundred twenty-eight".