211151433955440 has 640 divisors, whose sum is σ = 733439672570880. Its totient is φ = 49809457152000.

The previous prime is 211151433955367. The next prime is 211151433955447. The reversal of 211151433955440 is 44559334151112.

It is a happy number.

It is a super-2 number, since 2×211151433955440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 211151433955440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211151433955447) 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 127 ways as a sum of consecutive naturals, for example, 42289489584 + ... + 42289494576.

It is an arithmetic number, because the mean of its divisors is an integer number (1145999488392).

Almost surely, 2^{211151433955440} is an apocalyptic number.

211151433955440 is a gapful number since it is divisible by the number (20) 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 211151433955440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366719836285440).

211151433955440 is an abundant number, since it is smaller than the sum of its proper divisors (522288238615440).

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

211151433955440 is a wasteful number, since it uses less digits than its factorization.

211151433955440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6393 (or 6387 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 48.

The spelling of 211151433955440 in words is "two hundred eleven trillion, one hundred fifty-one billion, four hundred thirty-three million, nine hundred fifty-five thousand, four hundred forty".