40212355026000 has 480 divisors, whose sum is σ = 136136568701952. Its totient is φ = 10210888934400.

The previous prime is 40212355025989. The next prime is 40212355026007. The reversal of 40212355026000 is 62055321204.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40212355026007) 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 95 ways as a sum of consecutive naturals, for example, 707773594 + ... + 707830406.

Almost surely, 2^{40212355026000} is an apocalyptic number.

40212355026000 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 40212355026000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68068284350976).

40212355026000 is an abundant number, since it is smaller than the sum of its proper divisors (95924213675952).

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

40212355026000 is a wasteful number, since it uses less digits than its factorization.

40212355026000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57108 (or 57069 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 40212355026000 in words is "forty trillion, two hundred twelve billion, three hundred fifty-five million, twenty-six thousand".