40154132220345 has 384 divisors, whose sum is σ = 86573529907200. Its totient is φ = 17494010726400.

The previous prime is 40154132220269. The next prime is 40154132220353. The reversal of 40154132220345 is 54302223145104.

It is a happy number.

40154132220345 is a `hidden beast` number, since 4 + 0 + 15 + 413 + 2 + 220 + 3 + 4 + 5 = 666.

It is not a de Polignac number, because 40154132220345 - 2⁸ = 40154132220089 is a prime.

It is a super-2 number, since 2×40154132220345² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4928697562 + ... + 4928705708.

It is an arithmetic number, because the mean of its divisors is an integer number (225451900800).

Almost surely, 2^{40154132220345} is an apocalyptic number.

40154132220345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40154132220345 is an abundant number, since it is smaller than the sum of its proper divisors (46419397686855).

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

40154132220345 is a wasteful number, since it uses less digits than its factorization.

40154132220345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8718 (or 8699 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 40154132220345 its reverse (54302223145104), we get a palindrome (94456355365449).

The spelling of 40154132220345 in words is "forty trillion, one hundred fifty-four billion, one hundred thirty-two million, two hundred twenty thousand, three hundred forty-five".