40301152421000 has 128 divisors (see below), whose sum is σ = 94426319052000. Its totient is φ = 16099685452800.

The previous prime is 40301152420967. The next prime is 40301152421071. The reversal of 40301152421000 is 12425110304.

It can be written as a sum of positive squares in 16 ways, for example, as 1639941482404 + 38661210938596 = 1280602^2 + 6217814^2 .

It is a super-2 number, since 2×40301152421000² (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 31 ways as a sum of consecutive naturals, for example, 2684409494 + ... + 2684424506.

Almost surely, 2^{40301152421000} is an apocalyptic number.

40301152421000 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 40301152421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47213159526000).

40301152421000 is an abundant number, since it is smaller than the sum of its proper divisors (54125166631000).

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

40301152421000 is a wasteful number, since it uses less digits than its factorization.

40301152421000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18316 (or 18302 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 40301152421000 its reverse (12425110304), we get a palindrome (40313577531304).

The spelling of 40301152421000 in words is "forty trillion, three hundred one billion, one hundred fifty-two million, four hundred twenty-one thousand".