40153211235104 has 96 divisors (see below), whose sum is σ = 86615586247680. Its totient is φ = 18171739756800.

The previous prime is 40153211235089. The next prime is 40153211235107.

40153211235104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40153211235104² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (40153211235107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79486427 + ... + 79989989.

It is an arithmetic number, because the mean of its divisors is an integer number (902245690080).

Almost surely, 2^{40153211235104} is an apocalyptic number.

40153211235104 is a gapful number since it is divisible by the number (44) 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 40153211235104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43307793123840).

40153211235104 is an abundant number, since it is smaller than the sum of its proper divisors (46462375012576).

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

40153211235104 is a wasteful number, since it uses less digits than its factorization.

40153211235104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504574 (or 504566 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 40153211235104 in words is "forty trillion, one hundred fifty-three billion, two hundred eleven million, two hundred thirty-five thousand, one hundred four".