4262521978000 has 640 divisors, whose sum is σ = 12866836469760. Its totient is φ = 1342621440000.

The previous prime is 4262521977979. The next prime is 4262521978009. The reversal of 4262521978000 is 8791252624.

It is a super-2 number, since 2×4262521978000² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4262521978009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 581434335 + ... + 581441665.

It is an arithmetic number, because the mean of its divisors is an integer number (20104431984).

Almost surely, 2^{4262521978000} is an apocalyptic number.

4262521978000 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 4262521978000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6433418234880).

4262521978000 is an abundant number, since it is smaller than the sum of its proper divisors (8604314491760).

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

4262521978000 is a wasteful number, since it uses less digits than its factorization.

4262521978000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7504 (or 7488 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 4262521978000 in words is "four trillion, two hundred sixty-two billion, five hundred twenty-one million, nine hundred seventy-eight thousand".