222040151054400 has 336 divisors, whose sum is σ = 832565626833920. Its totient is φ = 50750766950400.

The previous prime is 222040151054339. The next prime is 222040151054429. The reversal of 222040151054400 is 4450151040222.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2295201231 + ... + 2295297969.

Almost surely, 2^{222040151054400} is an apocalyptic number.

222040151054400 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 222040151054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416282813416960).

222040151054400 is an abundant number, since it is smaller than the sum of its proper divisors (610525475779520).

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

222040151054400 is a wasteful number, since it uses less digits than its factorization.

222040151054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165082 (or 165067 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The spelling of 222040151054400 in words is "two hundred twenty-two trillion, forty billion, one hundred fifty-one million, fifty-four thousand, four hundred".